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Finding the Fourth Proportional to 3,542.62, 4,889.01 and 1,970.68

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Solution

The fourth proportional to 3,542.62, 4,889.01 and 1,970.68 is: 2,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.62 : 4,889.01 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    3,542.62/4,889.01 = 1,970.68/x
  3. Step 3: Cross multiply
    3,542.62x = 4,889.01 × 1,970.68
  4. Step 4: Simplify right side
    3,542.62x = 9,634,674.23
  5. Step 5: Solve for x
    x = 9,634,674.23/3,542.62
  6. Step 6: Final answer
    x = 2,719.65

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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.