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Finding the Fourth Proportional to 3,434.76, 4,737.49 and 2,109.20

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Solution

The fourth proportional to 3,434.76, 4,737.49 and 2,109.20 is: 2,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.76 : 4,737.49 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    3,434.76/4,737.49 = 2,109.20/x
  3. Step 3: Cross multiply
    3,434.76x = 4,737.49 × 2,109.20
  4. Step 4: Simplify right side
    3,434.76x = 9,992,284.95
  5. Step 5: Solve for x
    x = 9,992,284.95/3,434.76
  6. Step 6: Final answer
    x = 2,909.17

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