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Finding the Fourth Proportional to 5,853.26, 8,780.16 and 3,254.24

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Solution

The fourth proportional to 5,853.26, 8,780.16 and 3,254.24 is: 4,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.26 : 8,780.16 = 3,254.24 : x
  2. Step 2: Convert to fraction form
    5,853.26/8,780.16 = 3,254.24/x
  3. Step 3: Cross multiply
    5,853.26x = 8,780.16 × 3,254.24
  4. Step 4: Simplify right side
    5,853.26x = 28,572,747.88
  5. Step 5: Solve for x
    x = 28,572,747.88/5,853.26
  6. Step 6: Final answer
    x = 4,881.51

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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.