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Finding the Fourth Proportional to 5,829.68, 8,746.68 and 2,711.36

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Solution

The fourth proportional to 5,829.68, 8,746.68 and 2,711.36 is: 4,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.68 : 8,746.68 = 2,711.36 : x
  2. Step 2: Convert to fraction form
    5,829.68/8,746.68 = 2,711.36/x
  3. Step 3: Cross multiply
    5,829.68x = 8,746.68 × 2,711.36
  4. Step 4: Simplify right side
    5,829.68x = 23,715,398.28
  5. Step 5: Solve for x
    x = 23,715,398.28/5,829.68
  6. Step 6: Final answer
    x = 4,068.04

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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.