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Finding the Fourth Proportional to 5,023.60, 6,932.64 and 3,033.82

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Solution

The fourth proportional to 5,023.60, 6,932.64 and 3,033.82 is: 4,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.60 : 6,932.64 = 3,033.82 : x
  2. Step 2: Convert to fraction form
    5,023.60/6,932.64 = 3,033.82/x
  3. Step 3: Cross multiply
    5,023.60x = 6,932.64 × 3,033.82
  4. Step 4: Simplify right side
    5,023.60x = 21,032,381.88
  5. Step 5: Solve for x
    x = 21,032,381.88/5,023.60
  6. Step 6: Final answer
    x = 4,186.72

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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.