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Finding the Fourth Proportional to 3,677.66, 5,517.51 and 1,487.93

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Solution

The fourth proportional to 3,677.66, 5,517.51 and 1,487.93 is: 2,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.66 : 5,517.51 = 1,487.93 : x
  2. Step 2: Convert to fraction form
    3,677.66/5,517.51 = 1,487.93/x
  3. Step 3: Cross multiply
    3,677.66x = 5,517.51 × 1,487.93
  4. Step 4: Simplify right side
    3,677.66x = 8,209,641.07
  5. Step 5: Solve for x
    x = 8,209,641.07/3,677.66
  6. Step 6: Final answer
    x = 2,232.30

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Why These Related Problems?

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