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Finding the Fourth Proportional to 3,509.10, 4,842.58 and 1,937.23

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Solution

The fourth proportional to 3,509.10, 4,842.58 and 1,937.23 is: 2,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.10 : 4,842.58 = 1,937.23 : x
  2. Step 2: Convert to fraction form
    3,509.10/4,842.58 = 1,937.23/x
  3. Step 3: Cross multiply
    3,509.10x = 4,842.58 × 1,937.23
  4. Step 4: Simplify right side
    3,509.10x = 9,381,191.25
  5. Step 5: Solve for x
    x = 9,381,191.25/3,509.10
  6. Step 6: Final answer
    x = 2,673.39

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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.