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Finding the Fourth Proportional to 3,847.61, 5,780.66 and 2,463.63

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Solution

The fourth proportional to 3,847.61, 5,780.66 and 2,463.63 is: 3,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.61 : 5,780.66 = 2,463.63 : x
  2. Step 2: Convert to fraction form
    3,847.61/5,780.66 = 2,463.63/x
  3. Step 3: Cross multiply
    3,847.61x = 5,780.66 × 2,463.63
  4. Step 4: Simplify right side
    3,847.61x = 14,241,395.08
  5. Step 5: Solve for x
    x = 14,241,395.08/3,847.61
  6. Step 6: Final answer
    x = 3,701.37

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1.5x scale

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.