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Finding the Fourth Proportional to 5,658.95, 8,472 and 3,460.97

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Solution

The fourth proportional to 5,658.95, 8,472 and 3,460.97 is: 5,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.95 : 8,472 = 3,460.97 : x
  2. Step 2: Convert to fraction form
    5,658.95/8,472 = 3,460.97/x
  3. Step 3: Cross multiply
    5,658.95x = 8,472 × 3,460.97
  4. Step 4: Simplify right side
    5,658.95x = 29,321,337.84
  5. Step 5: Solve for x
    x = 29,321,337.84/5,658.95
  6. Step 6: Final answer
    x = 5,181.41

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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.