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Finding the Fourth Proportional to 3,565.63, 4,920.68 and 1,993.72

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Solution

The fourth proportional to 3,565.63, 4,920.68 and 1,993.72 is: 2,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.63 : 4,920.68 = 1,993.72 : x
  2. Step 2: Convert to fraction form
    3,565.63/4,920.68 = 1,993.72/x
  3. Step 3: Cross multiply
    3,565.63x = 4,920.68 × 1,993.72
  4. Step 4: Simplify right side
    3,565.63x = 9,810,423.56
  5. Step 5: Solve for x
    x = 9,810,423.56/3,565.63
  6. Step 6: Final answer
    x = 2,751.39

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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.