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Finding the Fourth Proportional to 4,306.32, 6,459.12 and 1,228.32

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Solution

The fourth proportional to 4,306.32, 6,459.12 and 1,228.32 is: 1,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.32 : 6,459.12 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    4,306.32/6,459.12 = 1,228.32/x
  3. Step 3: Cross multiply
    4,306.32x = 6,459.12 × 1,228.32
  4. Step 4: Simplify right side
    4,306.32x = 7,933,866.28
  5. Step 5: Solve for x
    x = 7,933,866.28/4,306.32
  6. Step 6: Final answer
    x = 1,842.38

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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.