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Finding the Fourth Proportional to 5,889.60, 8,838.08 and 3,294.40

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Solution

The fourth proportional to 5,889.60, 8,838.08 and 3,294.40 is: 4,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.60 : 8,838.08 = 3,294.40 : x
  2. Step 2: Convert to fraction form
    5,889.60/8,838.08 = 3,294.40/x
  3. Step 3: Cross multiply
    5,889.60x = 8,838.08 × 3,294.40
  4. Step 4: Simplify right side
    5,889.60x = 29,116,170.75
  5. Step 5: Solve for x
    x = 29,116,170.75/5,889.60
  6. Step 6: Final answer
    x = 4,943.66

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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.