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Finding the Fourth Proportional to 4,282.53, 5,909.81 and 2,394.15

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Solution

The fourth proportional to 4,282.53, 5,909.81 and 2,394.15 is: 3,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.53 : 5,909.81 = 2,394.15 : x
  2. Step 2: Convert to fraction form
    4,282.53/5,909.81 = 2,394.15/x
  3. Step 3: Cross multiply
    4,282.53x = 5,909.81 × 2,394.15
  4. Step 4: Simplify right side
    4,282.53x = 14,148,971.61
  5. Step 5: Solve for x
    x = 14,148,971.61/4,282.53
  6. Step 6: Final answer
    x = 3,303.88

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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.