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Finding the Fourth Proportional to 5,656.52, 7,806.04 and 3,138.64

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Solution

The fourth proportional to 5,656.52, 7,806.04 and 3,138.64 is: 4,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.52 : 7,806.04 = 3,138.64 : x
  2. Step 2: Convert to fraction form
    5,656.52/7,806.04 = 3,138.64/x
  3. Step 3: Cross multiply
    5,656.52x = 7,806.04 × 3,138.64
  4. Step 4: Simplify right side
    5,656.52x = 24,500,349.39
  5. Step 5: Solve for x
    x = 24,500,349.39/5,656.52
  6. Step 6: Final answer
    x = 4,331.35

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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.