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Finding the Fourth Proportional to 3,438.68, 5,153.69 and 1,875.43

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Solution

The fourth proportional to 3,438.68, 5,153.69 and 1,875.43 is: 2,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.68 : 5,153.69 = 1,875.43 : x
  2. Step 2: Convert to fraction form
    3,438.68/5,153.69 = 1,875.43/x
  3. Step 3: Cross multiply
    3,438.68x = 5,153.69 × 1,875.43
  4. Step 4: Simplify right side
    3,438.68x = 9,665,384.84
  5. Step 5: Solve for x
    x = 9,665,384.84/3,438.68
  6. Step 6: Final answer
    x = 2,810.78

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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.