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Finding the Fourth Proportional to 3,714.88, 5,124.48 and 2,652.64

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Solution

The fourth proportional to 3,714.88, 5,124.48 and 2,652.64 is: 3,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.88 : 5,124.48 = 2,652.64 : x
  2. Step 2: Convert to fraction form
    3,714.88/5,124.48 = 2,652.64/x
  3. Step 3: Cross multiply
    3,714.88x = 5,124.48 × 2,652.64
  4. Step 4: Simplify right side
    3,714.88x = 13,593,400.63
  5. Step 5: Solve for x
    x = 13,593,400.63/3,714.88
  6. Step 6: Final answer
    x = 3,659.18

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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.