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Finding the Fourth Proportional to 4,129.64, 5,697.66 and 2,451.32

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Solution

The fourth proportional to 4,129.64, 5,697.66 and 2,451.32 is: 3,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.64 : 5,697.66 = 2,451.32 : x
  2. Step 2: Convert to fraction form
    4,129.64/5,697.66 = 2,451.32/x
  3. Step 3: Cross multiply
    4,129.64x = 5,697.66 × 2,451.32
  4. Step 4: Simplify right side
    4,129.64x = 13,966,787.91
  5. Step 5: Solve for x
    x = 13,966,787.91/4,129.64
  6. Step 6: Final answer
    x = 3,382.08

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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.