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Finding the Fourth Proportional to 4,808.24, 7,212.78 and 1,298.78

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Solution

The fourth proportional to 4,808.24, 7,212.78 and 1,298.78 is: 1,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.24 : 7,212.78 = 1,298.78 : x
  2. Step 2: Convert to fraction form
    4,808.24/7,212.78 = 1,298.78/x
  3. Step 3: Cross multiply
    4,808.24x = 7,212.78 × 1,298.78
  4. Step 4: Simplify right side
    4,808.24x = 9,367,778.34
  5. Step 5: Solve for x
    x = 9,367,778.34/4,808.24
  6. Step 6: Final answer
    x = 1,948.28

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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.