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Finding the Fourth Proportional to 3,542.05, 4,888.20 and 1,970.14

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Solution

The fourth proportional to 3,542.05, 4,888.20 and 1,970.14 is: 2,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.05 : 4,888.20 = 1,970.14 : x
  2. Step 2: Convert to fraction form
    3,542.05/4,888.20 = 1,970.14/x
  3. Step 3: Cross multiply
    3,542.05x = 4,888.20 × 1,970.14
  4. Step 4: Simplify right side
    3,542.05x = 9,630,438.35
  5. Step 5: Solve for x
    x = 9,630,438.35/3,542.05
  6. Step 6: Final answer
    x = 2,718.89

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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.