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Finding the Fourth Proportional to 3,925.65, 5,415.45 and 3,644.22

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Solution

The fourth proportional to 3,925.65, 5,415.45 and 3,644.22 is: 5,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.65 : 5,415.45 = 3,644.22 : x
  2. Step 2: Convert to fraction form
    3,925.65/5,415.45 = 3,644.22/x
  3. Step 3: Cross multiply
    3,925.65x = 5,415.45 × 3,644.22
  4. Step 4: Simplify right side
    3,925.65x = 19,735,091.20
  5. Step 5: Solve for x
    x = 19,735,091.20/3,925.65
  6. Step 6: Final answer
    x = 5,027.22

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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.