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Finding the Fourth Proportional to 5,914.40, 8,881.20 and 4,282.40

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Solution

The fourth proportional to 5,914.40, 8,881.20 and 4,282.40 is: 6,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.40 : 8,881.20 = 4,282.40 : x
  2. Step 2: Convert to fraction form
    5,914.40/8,881.20 = 4,282.40/x
  3. Step 3: Cross multiply
    5,914.40x = 8,881.20 × 4,282.40
  4. Step 4: Simplify right side
    5,914.40x = 38,032,850.88
  5. Step 5: Solve for x
    x = 38,032,850.88/5,914.40
  6. Step 6: Final answer
    x = 6,430.55

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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.