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Finding the Fourth Proportional to 3,437.65, 4,743.97 and 1,865.75

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Solution

The fourth proportional to 3,437.65, 4,743.97 and 1,865.75 is: 2,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.65 : 4,743.97 = 1,865.75 : x
  2. Step 2: Convert to fraction form
    3,437.65/4,743.97 = 1,865.75/x
  3. Step 3: Cross multiply
    3,437.65x = 4,743.97 × 1,865.75
  4. Step 4: Simplify right side
    3,437.65x = 8,851,062.03
  5. Step 5: Solve for x
    x = 8,851,062.03/3,437.65
  6. Step 6: Final answer
    x = 2,574.74

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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.