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Finding the Fourth Proportional to 4,657.77, 6,986.97 and 1,537.74

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Solution

The fourth proportional to 4,657.77, 6,986.97 and 1,537.74 is: 2,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.77 : 6,986.97 = 1,537.74 : x
  2. Step 2: Convert to fraction form
    4,657.77/6,986.97 = 1,537.74/x
  3. Step 3: Cross multiply
    4,657.77x = 6,986.97 × 1,537.74
  4. Step 4: Simplify right side
    4,657.77x = 10,744,143.25
  5. Step 5: Solve for x
    x = 10,744,143.25/4,657.77
  6. Step 6: Final answer
    x = 2,306.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.