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Finding the Fourth Proportional to 4,904.70, 7,357.14 and 1,441.92

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Solution

The fourth proportional to 4,904.70, 7,357.14 and 1,441.92 is: 2,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.70 : 7,357.14 = 1,441.92 : x
  2. Step 2: Convert to fraction form
    4,904.70/7,357.14 = 1,441.92/x
  3. Step 3: Cross multiply
    4,904.70x = 7,357.14 × 1,441.92
  4. Step 4: Simplify right side
    4,904.70x = 10,608,407.31
  5. Step 5: Solve for x
    x = 10,608,407.31/4,904.70
  6. Step 6: Final answer
    x = 2,162.91

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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.