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Finding the Fourth Proportional to 3,905.42, 5,856.72 and 1,307.76

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Solution

The fourth proportional to 3,905.42, 5,856.72 and 1,307.76 is: 1,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.42 : 5,856.72 = 1,307.76 : x
  2. Step 2: Convert to fraction form
    3,905.42/5,856.72 = 1,307.76/x
  3. Step 3: Cross multiply
    3,905.42x = 5,856.72 × 1,307.76
  4. Step 4: Simplify right side
    3,905.42x = 7,659,184.15
  5. Step 5: Solve for x
    x = 7,659,184.15/3,905.42
  6. Step 6: Final answer
    x = 1,961.17

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