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Finding the Fourth Proportional to 5,572.59, 8,359.17 and 1,412.64

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Solution

The fourth proportional to 5,572.59, 8,359.17 and 1,412.64 is: 2,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.59 : 8,359.17 = 1,412.64 : x
  2. Step 2: Convert to fraction form
    5,572.59/8,359.17 = 1,412.64/x
  3. Step 3: Cross multiply
    5,572.59x = 8,359.17 × 1,412.64
  4. Step 4: Simplify right side
    5,572.59x = 11,808,497.91
  5. Step 5: Solve for x
    x = 11,808,497.91/5,572.59
  6. Step 6: Final answer
    x = 2,119.03

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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.