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Finding the Fourth Proportional to 3,377.40, 5,032.13 and 3,188.77

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Solution

The fourth proportional to 3,377.40, 5,032.13 and 3,188.77 is: 4,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.40 : 5,032.13 = 3,188.77 : x
  2. Step 2: Convert to fraction form
    3,377.40/5,032.13 = 3,188.77/x
  3. Step 3: Cross multiply
    3,377.40x = 5,032.13 × 3,188.77
  4. Step 4: Simplify right side
    3,377.40x = 16,046,276.66
  5. Step 5: Solve for x
    x = 16,046,276.66/3,377.40
  6. Step 6: Final answer
    x = 4,751.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.