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Finding the Fourth Proportional to 3,714.47, 5,563.49 and 1,516.53

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Solution

The fourth proportional to 3,714.47, 5,563.49 and 1,516.53 is: 2,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.47 : 5,563.49 = 1,516.53 : x
  2. Step 2: Convert to fraction form
    3,714.47/5,563.49 = 1,516.53/x
  3. Step 3: Cross multiply
    3,714.47x = 5,563.49 × 1,516.53
  4. Step 4: Simplify right side
    3,714.47x = 8,437,191.91
  5. Step 5: Solve for x
    x = 8,437,191.91/3,714.47
  6. Step 6: Final answer
    x = 2,271.44

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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.