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Finding the Fourth Proportional to 3,542.12, 4,888.14 and 1,970.22

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Solution

The fourth proportional to 3,542.12, 4,888.14 and 1,970.22 is: 2,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.12 : 4,888.14 = 1,970.22 : x
  2. Step 2: Convert to fraction form
    3,542.12/4,888.14 = 1,970.22/x
  3. Step 3: Cross multiply
    3,542.12x = 4,888.14 × 1,970.22
  4. Step 4: Simplify right side
    3,542.12x = 9,630,711.19
  5. Step 5: Solve for x
    x = 9,630,711.19/3,542.12
  6. Step 6: Final answer
    x = 2,718.91

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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.