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Finding the Fourth Proportional to 3,925.65, 5,415 and 2,331.22

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Solution

The fourth proportional to 3,925.65, 5,415 and 2,331.22 is: 3,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.65 : 5,415 = 2,331.22 : x
  2. Step 2: Convert to fraction form
    3,925.65/5,415 = 2,331.22/x
  3. Step 3: Cross multiply
    3,925.65x = 5,415 × 2,331.22
  4. Step 4: Simplify right side
    3,925.65x = 12,623,556.30
  5. Step 5: Solve for x
    x = 12,623,556.30/3,925.65
  6. Step 6: Final answer
    x = 3,215.66

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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.