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Finding the Fourth Proportional to 3,470.76, 5,207.06 and 1,005.78

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Solution

The fourth proportional to 3,470.76, 5,207.06 and 1,005.78 is: 1,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.76 : 5,207.06 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    3,470.76/5,207.06 = 1,005.78/x
  3. Step 3: Cross multiply
    3,470.76x = 5,207.06 × 1,005.78
  4. Step 4: Simplify right side
    3,470.76x = 5,237,156.81
  5. Step 5: Solve for x
    x = 5,237,156.81/3,470.76
  6. Step 6: Final answer
    x = 1,508.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.