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Finding the Fourth Proportional to 5,690.70, 7,856.26 and 3,931.76

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Solution

The fourth proportional to 5,690.70, 7,856.26 and 3,931.76 is: 5,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.70 : 7,856.26 = 3,931.76 : x
  2. Step 2: Convert to fraction form
    5,690.70/7,856.26 = 3,931.76/x
  3. Step 3: Cross multiply
    5,690.70x = 7,856.26 × 3,931.76
  4. Step 4: Simplify right side
    5,690.70x = 30,888,928.82
  5. Step 5: Solve for x
    x = 30,888,928.82/5,690.70
  6. Step 6: Final answer
    x = 5,427.97

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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.