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Finding the Fourth Proportional to 5,849.13, 8,058.11 and 4,077.57

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Solution

The fourth proportional to 5,849.13, 8,058.11 and 4,077.57 is: 5,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.13 : 8,058.11 = 4,077.57 : x
  2. Step 2: Convert to fraction form
    5,849.13/8,058.11 = 4,077.57/x
  3. Step 3: Cross multiply
    5,849.13x = 8,058.11 × 4,077.57
  4. Step 4: Simplify right side
    5,849.13x = 32,857,479.92
  5. Step 5: Solve for x
    x = 32,857,479.92/5,849.13
  6. Step 6: Final answer
    x = 5,617.50

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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.