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Finding the Fourth Proportional to 3,763.98, 5,646.05 and 2,648.84

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Solution

The fourth proportional to 3,763.98, 5,646.05 and 2,648.84 is: 3,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.98 : 5,646.05 = 2,648.84 : x
  2. Step 2: Convert to fraction form
    3,763.98/5,646.05 = 2,648.84/x
  3. Step 3: Cross multiply
    3,763.98x = 5,646.05 × 2,648.84
  4. Step 4: Simplify right side
    3,763.98x = 14,955,441.61
  5. Step 5: Solve for x
    x = 14,955,441.61/3,763.98
  6. Step 6: Final answer
    x = 3,973.31

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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.