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Finding the Fourth Proportional to 3,566.43, 5,345.33 and 3,134.43

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Solution

The fourth proportional to 3,566.43, 5,345.33 and 3,134.43 is: 4,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.43 : 5,345.33 = 3,134.43 : x
  2. Step 2: Convert to fraction form
    3,566.43/5,345.33 = 3,134.43/x
  3. Step 3: Cross multiply
    3,566.43x = 5,345.33 × 3,134.43
  4. Step 4: Simplify right side
    3,566.43x = 16,754,547.04
  5. Step 5: Solve for x
    x = 16,754,547.04/3,566.43
  6. Step 6: Final answer
    x = 4,697.85

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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.