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Finding the Fourth Proportional to 4,306.08, 6,459.36 and 1,228

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Solution

The fourth proportional to 4,306.08, 6,459.36 and 1,228 is: 1,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.08 : 6,459.36 = 1,228 : x
  2. Step 2: Convert to fraction form
    4,306.08/6,459.36 = 1,228/x
  3. Step 3: Cross multiply
    4,306.08x = 6,459.36 × 1,228
  4. Step 4: Simplify right side
    4,306.08x = 7,932,094.08
  5. Step 5: Solve for x
    x = 7,932,094.08/4,306.08
  6. Step 6: Final answer
    x = 1,842.07

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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.