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Finding the Fourth Proportional to 5,096.71, 7,645.22 and 2,875.69

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Solution

The fourth proportional to 5,096.71, 7,645.22 and 2,875.69 is: 4,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.71 : 7,645.22 = 2,875.69 : x
  2. Step 2: Convert to fraction form
    5,096.71/7,645.22 = 2,875.69/x
  3. Step 3: Cross multiply
    5,096.71x = 7,645.22 × 2,875.69
  4. Step 4: Simplify right side
    5,096.71x = 21,985,282.70
  5. Step 5: Solve for x
    x = 21,985,282.70/5,096.71
  6. Step 6: Final answer
    x = 4,313.62

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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.