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Finding the Fourth Proportional to 5,795.53, 8,689.46 and 2,097.28

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Solution

The fourth proportional to 5,795.53, 8,689.46 and 2,097.28 is: 3,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.53 : 8,689.46 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    5,795.53/8,689.46 = 2,097.28/x
  3. Step 3: Cross multiply
    5,795.53x = 8,689.46 × 2,097.28
  4. Step 4: Simplify right side
    5,795.53x = 18,224,225.43
  5. Step 5: Solve for x
    x = 18,224,225.43/5,795.53
  6. Step 6: Final answer
    x = 3,144.53

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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.