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Finding the Fourth Proportional to 3,542.08, 4,888.12 and 1,970.04

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Solution

The fourth proportional to 3,542.08, 4,888.12 and 1,970.04 is: 2,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.08 : 4,888.12 = 1,970.04 : x
  2. Step 2: Convert to fraction form
    3,542.08/4,888.12 = 1,970.04/x
  3. Step 3: Cross multiply
    3,542.08x = 4,888.12 × 1,970.04
  4. Step 4: Simplify right side
    3,542.08x = 9,629,791.92
  5. Step 5: Solve for x
    x = 9,629,791.92/3,542.08
  6. Step 6: Final answer
    x = 2,718.68

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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.