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Finding the Fourth Proportional to 3,645.42, 5,463.51 and 2,328.66

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Solution

The fourth proportional to 3,645.42, 5,463.51 and 2,328.66 is: 3,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.42 : 5,463.51 = 2,328.66 : x
  2. Step 2: Convert to fraction form
    3,645.42/5,463.51 = 2,328.66/x
  3. Step 3: Cross multiply
    3,645.42x = 5,463.51 × 2,328.66
  4. Step 4: Simplify right side
    3,645.42x = 12,722,672.52
  5. Step 5: Solve for x
    x = 12,722,672.52/3,645.42
  6. Step 6: Final answer
    x = 3,490.05

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