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Finding the Fourth Proportional to 5,653.53, 8,482.05 and 2,731.32

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Solution

The fourth proportional to 5,653.53, 8,482.05 and 2,731.32 is: 4,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.53 : 8,482.05 = 2,731.32 : x
  2. Step 2: Convert to fraction form
    5,653.53/8,482.05 = 2,731.32/x
  3. Step 3: Cross multiply
    5,653.53x = 8,482.05 × 2,731.32
  4. Step 4: Simplify right side
    5,653.53x = 23,167,192.81
  5. Step 5: Solve for x
    x = 23,167,192.81/5,653.53
  6. Step 6: Final answer
    x = 4,097.83

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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.