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Finding the Fourth Proportional to 3,895.96, 5,842.14 and 1,298.20

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Solution

The fourth proportional to 3,895.96, 5,842.14 and 1,298.20 is: 1,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.96 : 5,842.14 = 1,298.20 : x
  2. Step 2: Convert to fraction form
    3,895.96/5,842.14 = 1,298.20/x
  3. Step 3: Cross multiply
    3,895.96x = 5,842.14 × 1,298.20
  4. Step 4: Simplify right side
    3,895.96x = 7,584,266.15
  5. Step 5: Solve for x
    x = 7,584,266.15/3,895.96
  6. Step 6: Final answer
    x = 1,946.70

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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.