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Finding the Fourth Proportional to 3,435.84, 4,734.24 and 2,329.92

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Solution

The fourth proportional to 3,435.84, 4,734.24 and 2,329.92 is: 3,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.84 : 4,734.24 = 2,329.92 : x
  2. Step 2: Convert to fraction form
    3,435.84/4,734.24 = 2,329.92/x
  3. Step 3: Cross multiply
    3,435.84x = 4,734.24 × 2,329.92
  4. Step 4: Simplify right side
    3,435.84x = 11,030,400.46
  5. Step 5: Solve for x
    x = 11,030,400.46/3,435.84
  6. Step 6: Final answer
    x = 3,210.39

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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.