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Finding the Fourth Proportional to 5,657.32, 8,482.62 and 2,324.58

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Solution

The fourth proportional to 5,657.32, 8,482.62 and 2,324.58 is: 3,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.32 : 8,482.62 = 2,324.58 : x
  2. Step 2: Convert to fraction form
    5,657.32/8,482.62 = 2,324.58/x
  3. Step 3: Cross multiply
    5,657.32x = 8,482.62 × 2,324.58
  4. Step 4: Simplify right side
    5,657.32x = 19,718,528.80
  5. Step 5: Solve for x
    x = 19,718,528.80/5,657.32
  6. Step 6: Final answer
    x = 3,485.49

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Why These Related Problems?

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