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Finding the Fourth Proportional to 5,702.64, 8,550.56 and 2,778

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Solution

The fourth proportional to 5,702.64, 8,550.56 and 2,778 is: 4,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.64 : 8,550.56 = 2,778 : x
  2. Step 2: Convert to fraction form
    5,702.64/8,550.56 = 2,778/x
  3. Step 3: Cross multiply
    5,702.64x = 8,550.56 × 2,778
  4. Step 4: Simplify right side
    5,702.64x = 23,753,455.68
  5. Step 5: Solve for x
    x = 23,753,455.68/5,702.64
  6. Step 6: Final answer
    x = 4,165.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.