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Finding the Fourth Proportional to 4,134.52, 5,703.74 and 2,878.66

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Solution

The fourth proportional to 4,134.52, 5,703.74 and 2,878.66 is: 3,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.52 : 5,703.74 = 2,878.66 : x
  2. Step 2: Convert to fraction form
    4,134.52/5,703.74 = 2,878.66/x
  3. Step 3: Cross multiply
    4,134.52x = 5,703.74 × 2,878.66
  4. Step 4: Simplify right side
    4,134.52x = 16,419,099.67
  5. Step 5: Solve for x
    x = 16,419,099.67/4,134.52
  6. Step 6: Final answer
    x = 3,971.23

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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.