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Finding the Fourth Proportional to 3,448.80, 4,762.10 and 2,399.04

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Solution

The fourth proportional to 3,448.80, 4,762.10 and 2,399.04 is: 3,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.80 : 4,762.10 = 2,399.04 : x
  2. Step 2: Convert to fraction form
    3,448.80/4,762.10 = 2,399.04/x
  3. Step 3: Cross multiply
    3,448.80x = 4,762.10 × 2,399.04
  4. Step 4: Simplify right side
    3,448.80x = 11,424,468.38
  5. Step 5: Solve for x
    x = 11,424,468.38/3,448.80
  6. Step 6: Final answer
    x = 3,312.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.