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Finding the Fourth Proportional to 3,563.67, 4,917.71 and 1,948.55

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Solution

The fourth proportional to 3,563.67, 4,917.71 and 1,948.55 is: 2,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.67 : 4,917.71 = 1,948.55 : x
  2. Step 2: Convert to fraction form
    3,563.67/4,917.71 = 1,948.55/x
  3. Step 3: Cross multiply
    3,563.67x = 4,917.71 × 1,948.55
  4. Step 4: Simplify right side
    3,563.67x = 9,582,416.38
  5. Step 5: Solve for x
    x = 9,582,416.38/3,563.67
  6. Step 6: Final answer
    x = 2,688.92

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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.