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Finding the Fourth Proportional to 5,658.16, 8,493 and 4,016.56

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Solution

The fourth proportional to 5,658.16, 8,493 and 4,016.56 is: 6,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.16 : 8,493 = 4,016.56 : x
  2. Step 2: Convert to fraction form
    5,658.16/8,493 = 4,016.56/x
  3. Step 3: Cross multiply
    5,658.16x = 8,493 × 4,016.56
  4. Step 4: Simplify right side
    5,658.16x = 34,112,644.08
  5. Step 5: Solve for x
    x = 34,112,644.08/5,658.16
  6. Step 6: Final answer
    x = 6,028.93

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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.