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Finding the Fourth Proportional to 4,250.32, 5,865.98 and 2,678.40

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Solution

The fourth proportional to 4,250.32, 5,865.98 and 2,678.40 is: 3,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250.32 : 5,865.98 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    4,250.32/5,865.98 = 2,678.40/x
  3. Step 3: Cross multiply
    4,250.32x = 5,865.98 × 2,678.40
  4. Step 4: Simplify right side
    4,250.32x = 15,711,440.83
  5. Step 5: Solve for x
    x = 15,711,440.83/4,250.32
  6. Step 6: Final answer
    x = 3,696.53

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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.