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Finding the Fourth Proportional to 3,247.68, 4,871.49 and 1,400.10

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Solution

The fourth proportional to 3,247.68, 4,871.49 and 1,400.10 is: 2,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.68 : 4,871.49 = 1,400.10 : x
  2. Step 2: Convert to fraction form
    3,247.68/4,871.49 = 1,400.10/x
  3. Step 3: Cross multiply
    3,247.68x = 4,871.49 × 1,400.10
  4. Step 4: Simplify right side
    3,247.68x = 6,820,573.15
  5. Step 5: Solve for x
    x = 6,820,573.15/3,247.68
  6. Step 6: Final answer
    x = 2,100.14

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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.