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Finding the Fourth Proportional to 3,130.51, 4,714.25 and 2,724.53

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Solution

The fourth proportional to 3,130.51, 4,714.25 and 2,724.53 is: 4,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.51 : 4,714.25 = 2,724.53 : x
  2. Step 2: Convert to fraction form
    3,130.51/4,714.25 = 2,724.53/x
  3. Step 3: Cross multiply
    3,130.51x = 4,714.25 × 2,724.53
  4. Step 4: Simplify right side
    3,130.51x = 12,844,115.55
  5. Step 5: Solve for x
    x = 12,844,115.55/3,130.51
  6. Step 6: Final answer
    x = 4,102.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.