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Finding the Fourth Proportional to 3,688.78, 5,061.88 and 3,354.66

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Solution

The fourth proportional to 3,688.78, 5,061.88 and 3,354.66 is: 4,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.78 : 5,061.88 = 3,354.66 : x
  2. Step 2: Convert to fraction form
    3,688.78/5,061.88 = 3,354.66/x
  3. Step 3: Cross multiply
    3,688.78x = 5,061.88 × 3,354.66
  4. Step 4: Simplify right side
    3,688.78x = 16,980,886.36
  5. Step 5: Solve for x
    x = 16,980,886.36/3,688.78
  6. Step 6: Final answer
    x = 4,603.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.