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Finding the Fourth Proportional to 5,290.30, 7,292.88 and 4,029.22

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Solution

The fourth proportional to 5,290.30, 7,292.88 and 4,029.22 is: 5,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.30 : 7,292.88 = 4,029.22 : x
  2. Step 2: Convert to fraction form
    5,290.30/7,292.88 = 4,029.22/x
  3. Step 3: Cross multiply
    5,290.30x = 7,292.88 × 4,029.22
  4. Step 4: Simplify right side
    5,290.30x = 29,384,617.95
  5. Step 5: Solve for x
    x = 29,384,617.95/5,290.30
  6. Step 6: Final answer
    x = 5,554.43

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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.