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Finding the Fourth Proportional to 5,235.65, 7,225.65 and 2,878.25

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Solution

The fourth proportional to 5,235.65, 7,225.65 and 2,878.25 is: 3,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.65 : 7,225.65 = 2,878.25 : x
  2. Step 2: Convert to fraction form
    5,235.65/7,225.65 = 2,878.25/x
  3. Step 3: Cross multiply
    5,235.65x = 7,225.65 × 2,878.25
  4. Step 4: Simplify right side
    5,235.65x = 20,797,227.11
  5. Step 5: Solve for x
    x = 20,797,227.11/5,235.65
  6. Step 6: Final answer
    x = 3,972.23

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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.