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Finding the Fourth Proportional to 5,718.69, 8,554.92 and 4,947.24

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Solution

The fourth proportional to 5,718.69, 8,554.92 and 4,947.24 is: 7,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.69 : 8,554.92 = 4,947.24 : x
  2. Step 2: Convert to fraction form
    5,718.69/8,554.92 = 4,947.24/x
  3. Step 3: Cross multiply
    5,718.69x = 8,554.92 × 4,947.24
  4. Step 4: Simplify right side
    5,718.69x = 42,323,242.42
  5. Step 5: Solve for x
    x = 42,323,242.42/5,718.69
  6. Step 6: Final answer
    x = 7,400.86

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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.