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Finding the Fourth Proportional to 3,563.74, 4,917.27 and 2,148.22

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Solution

The fourth proportional to 3,563.74, 4,917.27 and 2,148.22 is: 2,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.74 : 4,917.27 = 2,148.22 : x
  2. Step 2: Convert to fraction form
    3,563.74/4,917.27 = 2,148.22/x
  3. Step 3: Cross multiply
    3,563.74x = 4,917.27 × 2,148.22
  4. Step 4: Simplify right side
    3,563.74x = 10,563,377.76
  5. Step 5: Solve for x
    x = 10,563,377.76/3,563.74
  6. Step 6: Final answer
    x = 2,964.13

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1.5x scale

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.