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Finding the Fourth Proportional to 5,807.32, 8,715.30 and 4,658.20

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Solution

The fourth proportional to 5,807.32, 8,715.30 and 4,658.20 is: 6,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.32 : 8,715.30 = 4,658.20 : x
  2. Step 2: Convert to fraction form
    5,807.32/8,715.30 = 4,658.20/x
  3. Step 3: Cross multiply
    5,807.32x = 8,715.30 × 4,658.20
  4. Step 4: Simplify right side
    5,807.32x = 40,597,610.46
  5. Step 5: Solve for x
    x = 40,597,610.46/5,807.32
  6. Step 6: Final answer
    x = 6,990.77

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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.