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Finding the Fourth Proportional to 5,393.76, 7,442.10 and 3,155.82

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Solution

The fourth proportional to 5,393.76, 7,442.10 and 3,155.82 is: 4,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.76 : 7,442.10 = 3,155.82 : x
  2. Step 2: Convert to fraction form
    5,393.76/7,442.10 = 3,155.82/x
  3. Step 3: Cross multiply
    5,393.76x = 7,442.10 × 3,155.82
  4. Step 4: Simplify right side
    5,393.76x = 23,485,928.02
  5. Step 5: Solve for x
    x = 23,485,928.02/5,393.76
  6. Step 6: Final answer
    x = 4,354.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.