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Finding the Fourth Proportional to 5,734.65, 8,598.25 and 2,404.49

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Solution

The fourth proportional to 5,734.65, 8,598.25 and 2,404.49 is: 3,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.65 : 8,598.25 = 2,404.49 : x
  2. Step 2: Convert to fraction form
    5,734.65/8,598.25 = 2,404.49/x
  3. Step 3: Cross multiply
    5,734.65x = 8,598.25 × 2,404.49
  4. Step 4: Simplify right side
    5,734.65x = 20,674,366.16
  5. Step 5: Solve for x
    x = 20,674,366.16/5,734.65
  6. Step 6: Final answer
    x = 3,605.17

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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.