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Finding the Fourth Proportional to 5,599.64, 7,727.54 and 3,081.90

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Solution

The fourth proportional to 5,599.64, 7,727.54 and 3,081.90 is: 4,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.64 : 7,727.54 = 3,081.90 : x
  2. Step 2: Convert to fraction form
    5,599.64/7,727.54 = 3,081.90/x
  3. Step 3: Cross multiply
    5,599.64x = 7,727.54 × 3,081.90
  4. Step 4: Simplify right side
    5,599.64x = 23,815,490.12
  5. Step 5: Solve for x
    x = 23,815,490.12/5,599.64
  6. Step 6: Final answer
    x = 4,253.04

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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.