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Finding the Fourth Proportional to 5,346.30, 8,008.47 and 3,585.90

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Solution

The fourth proportional to 5,346.30, 8,008.47 and 3,585.90 is: 5,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.30 : 8,008.47 = 3,585.90 : x
  2. Step 2: Convert to fraction form
    5,346.30/8,008.47 = 3,585.90/x
  3. Step 3: Cross multiply
    5,346.30x = 8,008.47 × 3,585.90
  4. Step 4: Simplify right side
    5,346.30x = 28,717,572.57
  5. Step 5: Solve for x
    x = 28,717,572.57/5,346.30
  6. Step 6: Final answer
    x = 5,371.49

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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.