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Finding the Fourth Proportional to 4,664.24, 7,002.84 and 2,715.92

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Solution

The fourth proportional to 4,664.24, 7,002.84 and 2,715.92 is: 4,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.24 : 7,002.84 = 2,715.92 : x
  2. Step 2: Convert to fraction form
    4,664.24/7,002.84 = 2,715.92/x
  3. Step 3: Cross multiply
    4,664.24x = 7,002.84 × 2,715.92
  4. Step 4: Simplify right side
    4,664.24x = 19,019,153.21
  5. Step 5: Solve for x
    x = 19,019,153.21/4,664.24
  6. Step 6: Final answer
    x = 4,077.65

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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.