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Finding the Fourth Proportional to 3,456.96, 4,764.96 and 2,407.20

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Solution

The fourth proportional to 3,456.96, 4,764.96 and 2,407.20 is: 3,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.96 : 4,764.96 = 2,407.20 : x
  2. Step 2: Convert to fraction form
    3,456.96/4,764.96 = 2,407.20/x
  3. Step 3: Cross multiply
    3,456.96x = 4,764.96 × 2,407.20
  4. Step 4: Simplify right side
    3,456.96x = 11,470,211.71
  5. Step 5: Solve for x
    x = 11,470,211.71/3,456.96
  6. Step 6: Final answer
    x = 3,318.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.