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Finding the Fourth Proportional to 3,542.69, 4,888.91 and 1,970.75

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Solution

The fourth proportional to 3,542.69, 4,888.91 and 1,970.75 is: 2,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.69 : 4,888.91 = 1,970.75 : x
  2. Step 2: Convert to fraction form
    3,542.69/4,888.91 = 1,970.75/x
  3. Step 3: Cross multiply
    3,542.69x = 4,888.91 × 1,970.75
  4. Step 4: Simplify right side
    3,542.69x = 9,634,819.38
  5. Step 5: Solve for x
    x = 9,634,819.38/3,542.69
  6. Step 6: Final answer
    x = 2,719.63

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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.