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Finding the Fourth Proportional to 5,795.12, 7,987.92 and 4,534.15

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Solution

The fourth proportional to 5,795.12, 7,987.92 and 4,534.15 is: 6,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.12 : 7,987.92 = 4,534.15 : x
  2. Step 2: Convert to fraction form
    5,795.12/7,987.92 = 4,534.15/x
  3. Step 3: Cross multiply
    5,795.12x = 7,987.92 × 4,534.15
  4. Step 4: Simplify right side
    5,795.12x = 36,218,387.53
  5. Step 5: Solve for x
    x = 36,218,387.53/5,795.12
  6. Step 6: Final answer
    x = 6,249.81

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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.