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Finding the Fourth Proportional to 5,697.46, 7,856.76 and 3,458.98

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Solution

The fourth proportional to 5,697.46, 7,856.76 and 3,458.98 is: 4,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.46 : 7,856.76 = 3,458.98 : x
  2. Step 2: Convert to fraction form
    5,697.46/7,856.76 = 3,458.98/x
  3. Step 3: Cross multiply
    5,697.46x = 7,856.76 × 3,458.98
  4. Step 4: Simplify right side
    5,697.46x = 27,176,375.70
  5. Step 5: Solve for x
    x = 27,176,375.70/5,697.46
  6. Step 6: Final answer
    x = 4,769.91

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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.