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Finding the Fourth Proportional to 3,534.62, 4,878.34 and 1,963.22

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Solution

The fourth proportional to 3,534.62, 4,878.34 and 1,963.22 is: 2,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.62 : 4,878.34 = 1,963.22 : x
  2. Step 2: Convert to fraction form
    3,534.62/4,878.34 = 1,963.22/x
  3. Step 3: Cross multiply
    3,534.62x = 4,878.34 × 1,963.22
  4. Step 4: Simplify right side
    3,534.62x = 9,577,254.65
  5. Step 5: Solve for x
    x = 9,577,254.65/3,534.62
  6. Step 6: Final answer
    x = 2,709.56

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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.