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Finding the Fourth Proportional to 4,029.90, 6,032.70 and 3,543.90

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Solution

The fourth proportional to 4,029.90, 6,032.70 and 3,543.90 is: 5,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.90 : 6,032.70 = 3,543.90 : x
  2. Step 2: Convert to fraction form
    4,029.90/6,032.70 = 3,543.90/x
  3. Step 3: Cross multiply
    4,029.90x = 6,032.70 × 3,543.90
  4. Step 4: Simplify right side
    4,029.90x = 21,379,285.53
  5. Step 5: Solve for x
    x = 21,379,285.53/4,029.90
  6. Step 6: Final answer
    x = 5,305.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.