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Finding the Fourth Proportional to 3,854.50, 5,319.84 and 2,363.24

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Solution

The fourth proportional to 3,854.50, 5,319.84 and 2,363.24 is: 3,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.50 : 5,319.84 = 2,363.24 : x
  2. Step 2: Convert to fraction form
    3,854.50/5,319.84 = 2,363.24/x
  3. Step 3: Cross multiply
    3,854.50x = 5,319.84 × 2,363.24
  4. Step 4: Simplify right side
    3,854.50x = 12,572,058.68
  5. Step 5: Solve for x
    x = 12,572,058.68/3,854.50
  6. Step 6: Final answer
    x = 3,261.66

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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.