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Finding the Fourth Proportional to 4,947.32, 7,412.74 and 3,483.92

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Solution

The fourth proportional to 4,947.32, 7,412.74 and 3,483.92 is: 5,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.32 : 7,412.74 = 3,483.92 : x
  2. Step 2: Convert to fraction form
    4,947.32/7,412.74 = 3,483.92/x
  3. Step 3: Cross multiply
    4,947.32x = 7,412.74 × 3,483.92
  4. Step 4: Simplify right side
    4,947.32x = 25,825,393.14
  5. Step 5: Solve for x
    x = 25,825,393.14/4,947.32
  6. Step 6: Final answer
    x = 5,220.08

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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.