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Finding the Fourth Proportional to 5,165.48, 7,127.24 and 2,927.18

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Solution

The fourth proportional to 5,165.48, 7,127.24 and 2,927.18 is: 4,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.48 : 7,127.24 = 2,927.18 : x
  2. Step 2: Convert to fraction form
    5,165.48/7,127.24 = 2,927.18/x
  3. Step 3: Cross multiply
    5,165.48x = 7,127.24 × 2,927.18
  4. Step 4: Simplify right side
    5,165.48x = 20,862,714.38
  5. Step 5: Solve for x
    x = 20,862,714.38/5,165.48
  6. Step 6: Final answer
    x = 4,038.87

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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.