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Finding the Fourth Proportional to 3,887.80, 5,365.16 and 2,315.96

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Solution

The fourth proportional to 3,887.80, 5,365.16 and 2,315.96 is: 3,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.80 : 5,365.16 = 2,315.96 : x
  2. Step 2: Convert to fraction form
    3,887.80/5,365.16 = 2,315.96/x
  3. Step 3: Cross multiply
    3,887.80x = 5,365.16 × 2,315.96
  4. Step 4: Simplify right side
    3,887.80x = 12,425,495.95
  5. Step 5: Solve for x
    x = 12,425,495.95/3,887.80
  6. Step 6: Final answer
    x = 3,196.02

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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.