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Finding the Fourth Proportional to 3,505.75, 4,838.49 and 2,162.15

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Solution

The fourth proportional to 3,505.75, 4,838.49 and 2,162.15 is: 2,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.75 : 4,838.49 = 2,162.15 : x
  2. Step 2: Convert to fraction form
    3,505.75/4,838.49 = 2,162.15/x
  3. Step 3: Cross multiply
    3,505.75x = 4,838.49 × 2,162.15
  4. Step 4: Simplify right side
    3,505.75x = 10,461,541.15
  5. Step 5: Solve for x
    x = 10,461,541.15/3,505.75
  6. Step 6: Final answer
    x = 2,984.11

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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.