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Finding the Fourth Proportional to 4,309.85, 6,459.36 and 1,841.78

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Solution

The fourth proportional to 4,309.85, 6,459.36 and 1,841.78 is: 2,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.85 : 6,459.36 = 1,841.78 : x
  2. Step 2: Convert to fraction form
    4,309.85/6,459.36 = 1,841.78/x
  3. Step 3: Cross multiply
    4,309.85x = 6,459.36 × 1,841.78
  4. Step 4: Simplify right side
    4,309.85x = 11,896,687.76
  5. Step 5: Solve for x
    x = 11,896,687.76/4,309.85
  6. Step 6: Final answer
    x = 2,760.35

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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.