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Finding the Fourth Proportional to 3,967.47, 5,475.06 and 2,199.06

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Solution

The fourth proportional to 3,967.47, 5,475.06 and 2,199.06 is: 3,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.47 : 5,475.06 = 2,199.06 : x
  2. Step 2: Convert to fraction form
    3,967.47/5,475.06 = 2,199.06/x
  3. Step 3: Cross multiply
    3,967.47x = 5,475.06 × 2,199.06
  4. Step 4: Simplify right side
    3,967.47x = 12,039,985.44
  5. Step 5: Solve for x
    x = 12,039,985.44/3,967.47
  6. Step 6: Final answer
    x = 3,034.68

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1.5x scale

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.