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Finding the Fourth Proportional to 4,920.14, 7,342.18 and 4,394.54

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Solution

The fourth proportional to 4,920.14, 7,342.18 and 4,394.54 is: 6,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.14 : 7,342.18 = 4,394.54 : x
  2. Step 2: Convert to fraction form
    4,920.14/7,342.18 = 4,394.54/x
  3. Step 3: Cross multiply
    4,920.14x = 7,342.18 × 4,394.54
  4. Step 4: Simplify right side
    4,920.14x = 32,265,503.70
  5. Step 5: Solve for x
    x = 32,265,503.70/4,920.14
  6. Step 6: Final answer
    x = 6,557.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.