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Finding the Fourth Proportional to 4,948.68, 7,427.34 and 2,641.80

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Solution

The fourth proportional to 4,948.68, 7,427.34 and 2,641.80 is: 3,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.68 : 7,427.34 = 2,641.80 : x
  2. Step 2: Convert to fraction form
    4,948.68/7,427.34 = 2,641.80/x
  3. Step 3: Cross multiply
    4,948.68x = 7,427.34 × 2,641.80
  4. Step 4: Simplify right side
    4,948.68x = 19,621,546.81
  5. Step 5: Solve for x
    x = 19,621,546.81/4,948.68
  6. Step 6: Final answer
    x = 3,965.01

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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.