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Finding the Fourth Proportional to 4,938.82, 7,405.35 and 2,882.50

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Solution

The fourth proportional to 4,938.82, 7,405.35 and 2,882.50 is: 4,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.82 : 7,405.35 = 2,882.50 : x
  2. Step 2: Convert to fraction form
    4,938.82/7,405.35 = 2,882.50/x
  3. Step 3: Cross multiply
    4,938.82x = 7,405.35 × 2,882.50
  4. Step 4: Simplify right side
    4,938.82x = 21,345,921.38
  5. Step 5: Solve for x
    x = 21,345,921.38/4,938.82
  6. Step 6: Final answer
    x = 4,322.07

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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.