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Finding the Fourth Proportional to 5,719.28, 8,580 and 2,432.36

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Solution

The fourth proportional to 5,719.28, 8,580 and 2,432.36 is: 3,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.28 : 8,580 = 2,432.36 : x
  2. Step 2: Convert to fraction form
    5,719.28/8,580 = 2,432.36/x
  3. Step 3: Cross multiply
    5,719.28x = 8,580 × 2,432.36
  4. Step 4: Simplify right side
    5,719.28x = 20,869,648.80
  5. Step 5: Solve for x
    x = 20,869,648.80/5,719.28
  6. Step 6: Final answer
    x = 3,649.00

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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.