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Finding the Fourth Proportional to 3,712.48, 5,126.16 and 2,298.24

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Solution

The fourth proportional to 3,712.48, 5,126.16 and 2,298.24 is: 3,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.48 : 5,126.16 = 2,298.24 : x
  2. Step 2: Convert to fraction form
    3,712.48/5,126.16 = 2,298.24/x
  3. Step 3: Cross multiply
    3,712.48x = 5,126.16 × 2,298.24
  4. Step 4: Simplify right side
    3,712.48x = 11,781,145.96
  5. Step 5: Solve for x
    x = 11,781,145.96/3,712.48
  6. Step 6: Final answer
    x = 3,173.39

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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.