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Finding the Fourth Proportional to 3,967.68, 5,475.54 and 2,289.66

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Solution

The fourth proportional to 3,967.68, 5,475.54 and 2,289.66 is: 3,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.68 : 5,475.54 = 2,289.66 : x
  2. Step 2: Convert to fraction form
    3,967.68/5,475.54 = 2,289.66/x
  3. Step 3: Cross multiply
    3,967.68x = 5,475.54 × 2,289.66
  4. Step 4: Simplify right side
    3,967.68x = 12,537,124.92
  5. Step 5: Solve for x
    x = 12,537,124.92/3,967.68
  6. Step 6: Final answer
    x = 3,159.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.