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Finding the Fourth Proportional to 3,365.64, 4,648.98 and 2,315.88

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Solution

The fourth proportional to 3,365.64, 4,648.98 and 2,315.88 is: 3,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.64 : 4,648.98 = 2,315.88 : x
  2. Step 2: Convert to fraction form
    3,365.64/4,648.98 = 2,315.88/x
  3. Step 3: Cross multiply
    3,365.64x = 4,648.98 × 2,315.88
  4. Step 4: Simplify right side
    3,365.64x = 10,766,479.80
  5. Step 5: Solve for x
    x = 10,766,479.80/3,365.64
  6. Step 6: Final answer
    x = 3,198.94

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