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Finding the Fourth Proportional to 6,084.40, 9,110.40 and 3,881.20

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Solution

The fourth proportional to 6,084.40, 9,110.40 and 3,881.20 is: 5,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.40 : 9,110.40 = 3,881.20 : x
  2. Step 2: Convert to fraction form
    6,084.40/9,110.40 = 3,881.20/x
  3. Step 3: Cross multiply
    6,084.40x = 9,110.40 × 3,881.20
  4. Step 4: Simplify right side
    6,084.40x = 35,359,284.48
  5. Step 5: Solve for x
    x = 35,359,284.48/6,084.40
  6. Step 6: Final answer
    x = 5,811.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.