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Finding the Fourth Proportional to 5,829.71, 8,717.96 and 4,349.97

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Solution

The fourth proportional to 5,829.71, 8,717.96 and 4,349.97 is: 6,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.71 : 8,717.96 = 4,349.97 : x
  2. Step 2: Convert to fraction form
    5,829.71/8,717.96 = 4,349.97/x
  3. Step 3: Cross multiply
    5,829.71x = 8,717.96 × 4,349.97
  4. Step 4: Simplify right side
    5,829.71x = 37,922,875.34
  5. Step 5: Solve for x
    x = 37,922,875.34/5,829.71
  6. Step 6: Final answer
    x = 6,505.11

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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.