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Finding the Fourth Proportional to 3,247.84, 4,872.30 and 1,400.32

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Solution

The fourth proportional to 3,247.84, 4,872.30 and 1,400.32 is: 2,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.84 : 4,872.30 = 1,400.32 : x
  2. Step 2: Convert to fraction form
    3,247.84/4,872.30 = 1,400.32/x
  3. Step 3: Cross multiply
    3,247.84x = 4,872.30 × 1,400.32
  4. Step 4: Simplify right side
    3,247.84x = 6,822,779.14
  5. Step 5: Solve for x
    x = 6,822,779.14/3,247.84
  6. Step 6: Final answer
    x = 2,100.71

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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.