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Finding the Fourth Proportional to 5,068.76, 7,597.92 and 1,947.92

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Solution

The fourth proportional to 5,068.76, 7,597.92 and 1,947.92 is: 2,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.76 : 7,597.92 = 1,947.92 : x
  2. Step 2: Convert to fraction form
    5,068.76/7,597.92 = 1,947.92/x
  3. Step 3: Cross multiply
    5,068.76x = 7,597.92 × 1,947.92
  4. Step 4: Simplify right side
    5,068.76x = 14,800,102.34
  5. Step 5: Solve for x
    x = 14,800,102.34/5,068.76
  6. Step 6: Final answer
    x = 2,919.87

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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.