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Finding the Fourth Proportional to 4,002.51, 5,523.90 and 2,323.59

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Solution

The fourth proportional to 4,002.51, 5,523.90 and 2,323.59 is: 3,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.51 : 5,523.90 = 2,323.59 : x
  2. Step 2: Convert to fraction form
    4,002.51/5,523.90 = 2,323.59/x
  3. Step 3: Cross multiply
    4,002.51x = 5,523.90 × 2,323.59
  4. Step 4: Simplify right side
    4,002.51x = 12,835,278.80
  5. Step 5: Solve for x
    x = 12,835,278.80/4,002.51
  6. Step 6: Final answer
    x = 3,206.81

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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.