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Finding the Fourth Proportional to 3,293.60, 4,937.20 and 2,948

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Solution

The fourth proportional to 3,293.60, 4,937.20 and 2,948 is: 4,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.60 : 4,937.20 = 2,948 : x
  2. Step 2: Convert to fraction form
    3,293.60/4,937.20 = 2,948/x
  3. Step 3: Cross multiply
    3,293.60x = 4,937.20 × 2,948
  4. Step 4: Simplify right side
    3,293.60x = 14,554,865.60
  5. Step 5: Solve for x
    x = 14,554,865.60/3,293.60
  6. Step 6: Final answer
    x = 4,419.14

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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.