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Finding the Fourth Proportional to 4,948.38, 7,417.71 and 2,353.14

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Solution

The fourth proportional to 4,948.38, 7,417.71 and 2,353.14 is: 3,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.38 : 7,417.71 = 2,353.14 : x
  2. Step 2: Convert to fraction form
    4,948.38/7,417.71 = 2,353.14/x
  3. Step 3: Cross multiply
    4,948.38x = 7,417.71 × 2,353.14
  4. Step 4: Simplify right side
    4,948.38x = 17,454,910.11
  5. Step 5: Solve for x
    x = 17,454,910.11/4,948.38
  6. Step 6: Final answer
    x = 3,527.40

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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.