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Finding the Fourth Proportional to 5,694.87, 8,547.65 and 3,507.87

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Solution

The fourth proportional to 5,694.87, 8,547.65 and 3,507.87 is: 5,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.87 : 8,547.65 = 3,507.87 : x
  2. Step 2: Convert to fraction form
    5,694.87/8,547.65 = 3,507.87/x
  3. Step 3: Cross multiply
    5,694.87x = 8,547.65 × 3,507.87
  4. Step 4: Simplify right side
    5,694.87x = 29,984,027.47
  5. Step 5: Solve for x
    x = 29,984,027.47/5,694.87
  6. Step 6: Final answer
    x = 5,265.09

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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.