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Finding the Fourth Proportional to 3,442, 4,762.47 and 3,000.82

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Solution

The fourth proportional to 3,442, 4,762.47 and 3,000.82 is: 4,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442 : 4,762.47 = 3,000.82 : x
  2. Step 2: Convert to fraction form
    3,442/4,762.47 = 3,000.82/x
  3. Step 3: Cross multiply
    3,442x = 4,762.47 × 3,000.82
  4. Step 4: Simplify right side
    3,442x = 14,291,315.23
  5. Step 5: Solve for x
    x = 14,291,315.23/3,442
  6. Step 6: Final answer
    x = 4,152.04

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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.