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Finding the Fourth Proportional to 3,509.73, 4,838.70 and 2,909.97

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Solution

The fourth proportional to 3,509.73, 4,838.70 and 2,909.97 is: 4,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.73 : 4,838.70 = 2,909.97 : x
  2. Step 2: Convert to fraction form
    3,509.73/4,838.70 = 2,909.97/x
  3. Step 3: Cross multiply
    3,509.73x = 4,838.70 × 2,909.97
  4. Step 4: Simplify right side
    3,509.73x = 14,080,471.84
  5. Step 5: Solve for x
    x = 14,080,471.84/3,509.73
  6. Step 6: Final answer
    x = 4,011.84

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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.