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Finding the Fourth Proportional to 3,897.80, 5,366.54 and 3,632.84

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Solution

The fourth proportional to 3,897.80, 5,366.54 and 3,632.84 is: 5,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.80 : 5,366.54 = 3,632.84 : x
  2. Step 2: Convert to fraction form
    3,897.80/5,366.54 = 3,632.84/x
  3. Step 3: Cross multiply
    3,897.80x = 5,366.54 × 3,632.84
  4. Step 4: Simplify right side
    3,897.80x = 19,495,781.17
  5. Step 5: Solve for x
    x = 19,495,781.17/3,897.80
  6. Step 6: Final answer
    x = 5,001.74

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