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Finding the Fourth Proportional to 5,614.72, 8,422.16 and 1,720.16

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Solution

The fourth proportional to 5,614.72, 8,422.16 and 1,720.16 is: 2,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.72 : 8,422.16 = 1,720.16 : x
  2. Step 2: Convert to fraction form
    5,614.72/8,422.16 = 1,720.16/x
  3. Step 3: Cross multiply
    5,614.72x = 8,422.16 × 1,720.16
  4. Step 4: Simplify right side
    5,614.72x = 14,487,462.75
  5. Step 5: Solve for x
    x = 14,487,462.75/5,614.72
  6. Step 6: Final answer
    x = 2,580.26

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1.5x scale

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.