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Finding the Fourth Proportional to 3,895.67, 5,842.29 and 1,298

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Solution

The fourth proportional to 3,895.67, 5,842.29 and 1,298 is: 1,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.67 : 5,842.29 = 1,298 : x
  2. Step 2: Convert to fraction form
    3,895.67/5,842.29 = 1,298/x
  3. Step 3: Cross multiply
    3,895.67x = 5,842.29 × 1,298
  4. Step 4: Simplify right side
    3,895.67x = 7,583,292.42
  5. Step 5: Solve for x
    x = 7,583,292.42/3,895.67
  6. Step 6: Final answer
    x = 1,946.60

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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.