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Finding the Fourth Proportional to 5,887.46, 8,108.02 and 5,869.24

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Solution

The fourth proportional to 5,887.46, 8,108.02 and 5,869.24 is: 8,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.46 : 8,108.02 = 5,869.24 : x
  2. Step 2: Convert to fraction form
    5,887.46/8,108.02 = 5,869.24/x
  3. Step 3: Cross multiply
    5,887.46x = 8,108.02 × 5,869.24
  4. Step 4: Simplify right side
    5,887.46x = 47,587,915.30
  5. Step 5: Solve for x
    x = 47,587,915.30/5,887.46
  6. Step 6: Final answer
    x = 8,082.93

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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.