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Finding the Fourth Proportional to 5,704.92, 7,864.92 and 5,580.72

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Solution

The fourth proportional to 5,704.92, 7,864.92 and 5,580.72 is: 7,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.92 : 7,864.92 = 5,580.72 : x
  2. Step 2: Convert to fraction form
    5,704.92/7,864.92 = 5,580.72/x
  3. Step 3: Cross multiply
    5,704.92x = 7,864.92 × 5,580.72
  4. Step 4: Simplify right side
    5,704.92x = 43,891,916.34
  5. Step 5: Solve for x
    x = 43,891,916.34/5,704.92
  6. Step 6: Final answer
    x = 7,693.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.