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Finding the Fourth Proportional to 5,718.46, 8,576.49 and 1,613.50

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Solution

The fourth proportional to 5,718.46, 8,576.49 and 1,613.50 is: 2,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.46 : 8,576.49 = 1,613.50 : x
  2. Step 2: Convert to fraction form
    5,718.46/8,576.49 = 1,613.50/x
  3. Step 3: Cross multiply
    5,718.46x = 8,576.49 × 1,613.50
  4. Step 4: Simplify right side
    5,718.46x = 13,838,166.62
  5. Step 5: Solve for x
    x = 13,838,166.62/5,718.46
  6. Step 6: Final answer
    x = 2,419.91

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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.