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Finding the Fourth Proportional to 4,971.96, 7,449.30 and 3,488.04

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Solution

The fourth proportional to 4,971.96, 7,449.30 and 3,488.04 is: 5,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.96 : 7,449.30 = 3,488.04 : x
  2. Step 2: Convert to fraction form
    4,971.96/7,449.30 = 3,488.04/x
  3. Step 3: Cross multiply
    4,971.96x = 7,449.30 × 3,488.04
  4. Step 4: Simplify right side
    4,971.96x = 25,983,456.37
  5. Step 5: Solve for x
    x = 25,983,456.37/4,971.96
  6. Step 6: Final answer
    x = 5,226.00

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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.