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Finding the Fourth Proportional to 5,888.38, 8,129.60 and 4,472.14

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Solution

The fourth proportional to 5,888.38, 8,129.60 and 4,472.14 is: 6,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.38 : 8,129.60 = 4,472.14 : x
  2. Step 2: Convert to fraction form
    5,888.38/8,129.60 = 4,472.14/x
  3. Step 3: Cross multiply
    5,888.38x = 8,129.60 × 4,472.14
  4. Step 4: Simplify right side
    5,888.38x = 36,356,709.34
  5. Step 5: Solve for x
    x = 36,356,709.34/5,888.38
  6. Step 6: Final answer
    x = 6,174.31

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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.