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Finding the Fourth Proportional to 3,435.32, 4,740.74 and 1,863.42

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Solution

The fourth proportional to 3,435.32, 4,740.74 and 1,863.42 is: 2,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.32 : 4,740.74 = 1,863.42 : x
  2. Step 2: Convert to fraction form
    3,435.32/4,740.74 = 1,863.42/x
  3. Step 3: Cross multiply
    3,435.32x = 4,740.74 × 1,863.42
  4. Step 4: Simplify right side
    3,435.32x = 8,833,989.73
  5. Step 5: Solve for x
    x = 8,833,989.73/3,435.32
  6. Step 6: Final answer
    x = 2,571.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.