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Finding the Fourth Proportional to 5,642,894.76, 7,790,422.75 and 3,714,760.38

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Solution

The fourth proportional to 5,642,894.76, 7,790,422.75 and 3,714,760.38 is: 5,128,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,894.76 : 7,790,422.75 = 3,714,760.38 : x
  2. Step 2: Convert to fraction form
    5,642,894.76/7,790,422.75 = 3,714,760.38/x
  3. Step 3: Cross multiply
    5,642,894.76x = 7,790,422.75 × 3,714,760.38
  4. Step 4: Simplify right side
    5,642,894.76x = 28,939,553,717,624.73
  5. Step 5: Solve for x
    x = 28,939,553,717,624.73/5,642,894.76
  6. Step 6: Final answer
    x = 5,128,494.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.