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Finding the Fourth Proportional to 5,853.48, 8,077.13 and 3,463.52

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Solution

The fourth proportional to 5,853.48, 8,077.13 and 3,463.52 is: 4,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.48 : 8,077.13 = 3,463.52 : x
  2. Step 2: Convert to fraction form
    5,853.48/8,077.13 = 3,463.52/x
  3. Step 3: Cross multiply
    5,853.48x = 8,077.13 × 3,463.52
  4. Step 4: Simplify right side
    5,853.48x = 27,975,309.96
  5. Step 5: Solve for x
    x = 27,975,309.96/5,853.48
  6. Step 6: Final answer
    x = 4,779.27

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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.