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Finding the Fourth Proportional to 5,387.66, 7,434.90 and 3,029.80

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Solution

The fourth proportional to 5,387.66, 7,434.90 and 3,029.80 is: 4,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.66 : 7,434.90 = 3,029.80 : x
  2. Step 2: Convert to fraction form
    5,387.66/7,434.90 = 3,029.80/x
  3. Step 3: Cross multiply
    5,387.66x = 7,434.90 × 3,029.80
  4. Step 4: Simplify right side
    5,387.66x = 22,526,260.02
  5. Step 5: Solve for x
    x = 22,526,260.02/5,387.66
  6. Step 6: Final answer
    x = 4,181.08

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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.