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Finding the Fourth Proportional to 4,649.55, 6,973.14 and 1,874.80

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Solution

The fourth proportional to 4,649.55, 6,973.14 and 1,874.80 is: 2,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.55 : 6,973.14 = 1,874.80 : x
  2. Step 2: Convert to fraction form
    4,649.55/6,973.14 = 1,874.80/x
  3. Step 3: Cross multiply
    4,649.55x = 6,973.14 × 1,874.80
  4. Step 4: Simplify right side
    4,649.55x = 13,073,208.85
  5. Step 5: Solve for x
    x = 13,073,208.85/4,649.55
  6. Step 6: Final answer
    x = 2,811.71

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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.