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Finding the Fourth Proportional to 4,306.07, 6,458.96 and 1,228.07

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Solution

The fourth proportional to 4,306.07, 6,458.96 and 1,228.07 is: 1,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.07 : 6,458.96 = 1,228.07 : x
  2. Step 2: Convert to fraction form
    4,306.07/6,458.96 = 1,228.07/x
  3. Step 3: Cross multiply
    4,306.07x = 6,458.96 × 1,228.07
  4. Step 4: Simplify right side
    4,306.07x = 7,932,074.22
  5. Step 5: Solve for x
    x = 7,932,074.22/4,306.07
  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.