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Finding the Fourth Proportional to 5,773.71, 8,643.29 and 3,717.39

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Solution

The fourth proportional to 5,773.71, 8,643.29 and 3,717.39 is: 5,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.71 : 8,643.29 = 3,717.39 : x
  2. Step 2: Convert to fraction form
    5,773.71/8,643.29 = 3,717.39/x
  3. Step 3: Cross multiply
    5,773.71x = 8,643.29 × 3,717.39
  4. Step 4: Simplify right side
    5,773.71x = 32,130,461.23
  5. Step 5: Solve for x
    x = 32,130,461.23/5,773.71
  6. Step 6: Final answer
    x = 5,564.96

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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.