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Finding the Fourth Proportional to 5,262.58, 7,262.38 and 2,904.78

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Solution

The fourth proportional to 5,262.58, 7,262.38 and 2,904.78 is: 4,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.58 : 7,262.38 = 2,904.78 : x
  2. Step 2: Convert to fraction form
    5,262.58/7,262.38 = 2,904.78/x
  3. Step 3: Cross multiply
    5,262.58x = 7,262.38 × 2,904.78
  4. Step 4: Simplify right side
    5,262.58x = 21,095,616.18
  5. Step 5: Solve for x
    x = 21,095,616.18/5,262.58
  6. Step 6: Final answer
    x = 4,008.61

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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.