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Finding the Fourth Proportional to 3,435.98, 4,740.38 and 2,176.56

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Solution

The fourth proportional to 3,435.98, 4,740.38 and 2,176.56 is: 3,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.98 : 4,740.38 = 2,176.56 : x
  2. Step 2: Convert to fraction form
    3,435.98/4,740.38 = 2,176.56/x
  3. Step 3: Cross multiply
    3,435.98x = 4,740.38 × 2,176.56
  4. Step 4: Simplify right side
    3,435.98x = 10,317,721.49
  5. Step 5: Solve for x
    x = 10,317,721.49/3,435.98
  6. Step 6: Final answer
    x = 3,002.85

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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.