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Finding the Fourth Proportional to 3,254.96, 4,878.72 and 1,306.16

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Solution

The fourth proportional to 3,254.96, 4,878.72 and 1,306.16 is: 1,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.96 : 4,878.72 = 1,306.16 : x
  2. Step 2: Convert to fraction form
    3,254.96/4,878.72 = 1,306.16/x
  3. Step 3: Cross multiply
    3,254.96x = 4,878.72 × 1,306.16
  4. Step 4: Simplify right side
    3,254.96x = 6,372,388.92
  5. Step 5: Solve for x
    x = 6,372,388.92/3,254.96
  6. Step 6: Final answer
    x = 1,957.75

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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.