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Finding the Fourth Proportional to 3,903.84, 5,856.35 and 1,306.17

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Solution

The fourth proportional to 3,903.84, 5,856.35 and 1,306.17 is: 1,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.84 : 5,856.35 = 1,306.17 : x
  2. Step 2: Convert to fraction form
    3,903.84/5,856.35 = 1,306.17/x
  3. Step 3: Cross multiply
    3,903.84x = 5,856.35 × 1,306.17
  4. Step 4: Simplify right side
    3,903.84x = 7,649,382.15
  5. Step 5: Solve for x
    x = 7,649,382.15/3,903.84
  6. Step 6: Final answer
    x = 1,959.45

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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.