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Finding the Fourth Proportional to 3,717.71, 5,577.09 and 1,253.24

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Solution

The fourth proportional to 3,717.71, 5,577.09 and 1,253.24 is: 1,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.71 : 5,577.09 = 1,253.24 : x
  2. Step 2: Convert to fraction form
    3,717.71/5,577.09 = 1,253.24/x
  3. Step 3: Cross multiply
    3,717.71x = 5,577.09 × 1,253.24
  4. Step 4: Simplify right side
    3,717.71x = 6,989,421.78
  5. Step 5: Solve for x
    x = 6,989,421.78/3,717.71
  6. Step 6: Final answer
    x = 1,880.03

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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.