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Finding the Fourth Proportional to 5,033.80, 6,932 and 4,712.90

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Solution

The fourth proportional to 5,033.80, 6,932 and 4,712.90 is: 6,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.80 : 6,932 = 4,712.90 : x
  2. Step 2: Convert to fraction form
    5,033.80/6,932 = 4,712.90/x
  3. Step 3: Cross multiply
    5,033.80x = 6,932 × 4,712.90
  4. Step 4: Simplify right side
    5,033.80x = 32,669,822.80
  5. Step 5: Solve for x
    x = 32,669,822.80/5,033.80
  6. Step 6: Final answer
    x = 6,490.09

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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.