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Finding the Fourth Proportional to 3,677.61, 5,510.65 and 3,127.53

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Solution

The fourth proportional to 3,677.61, 5,510.65 and 3,127.53 is: 4,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.61 : 5,510.65 = 3,127.53 : x
  2. Step 2: Convert to fraction form
    3,677.61/5,510.65 = 3,127.53/x
  3. Step 3: Cross multiply
    3,677.61x = 5,510.65 × 3,127.53
  4. Step 4: Simplify right side
    3,677.61x = 17,234,723.19
  5. Step 5: Solve for x
    x = 17,234,723.19/3,677.61
  6. Step 6: Final answer
    x = 4,686.39

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