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Finding the Fourth Proportional to 3,780.52, 5,645.30 and 3,088.55

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Solution

The fourth proportional to 3,780.52, 5,645.30 and 3,088.55 is: 4,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.52 : 5,645.30 = 3,088.55 : x
  2. Step 2: Convert to fraction form
    3,780.52/5,645.30 = 3,088.55/x
  3. Step 3: Cross multiply
    3,780.52x = 5,645.30 × 3,088.55
  4. Step 4: Simplify right side
    3,780.52x = 17,435,789.99
  5. Step 5: Solve for x
    x = 17,435,789.99/3,780.52
  6. Step 6: Final answer
    x = 4,612.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.