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Finding the Fourth Proportional to 3,508.98, 4,842.38 and 1,937.07

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Solution

The fourth proportional to 3,508.98, 4,842.38 and 1,937.07 is: 2,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.98 : 4,842.38 = 1,937.07 : x
  2. Step 2: Convert to fraction form
    3,508.98/4,842.38 = 1,937.07/x
  3. Step 3: Cross multiply
    3,508.98x = 4,842.38 × 1,937.07
  4. Step 4: Simplify right side
    3,508.98x = 9,380,019.34
  5. Step 5: Solve for x
    x = 9,380,019.34/3,508.98
  6. Step 6: Final answer
    x = 2,673.15

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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.