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Finding the Fourth Proportional to 3,854.34, 5,319.48 and 2,282.40

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Solution

The fourth proportional to 3,854.34, 5,319.48 and 2,282.40 is: 3,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.34 : 5,319.48 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    3,854.34/5,319.48 = 2,282.40/x
  3. Step 3: Cross multiply
    3,854.34x = 5,319.48 × 2,282.40
  4. Step 4: Simplify right side
    3,854.34x = 12,141,181.15
  5. Step 5: Solve for x
    x = 12,141,181.15/3,854.34
  6. Step 6: Final answer
    x = 3,150.00

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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.