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Finding the Fourth Proportional to 3,310.56, 4,569.12 and 2,523.12

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Solution

The fourth proportional to 3,310.56, 4,569.12 and 2,523.12 is: 3,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.56 : 4,569.12 = 2,523.12 : x
  2. Step 2: Convert to fraction form
    3,310.56/4,569.12 = 2,523.12/x
  3. Step 3: Cross multiply
    3,310.56x = 4,569.12 × 2,523.12
  4. Step 4: Simplify right side
    3,310.56x = 11,528,438.05
  5. Step 5: Solve for x
    x = 11,528,438.05/3,310.56
  6. Step 6: Final answer
    x = 3,482.32

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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.