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Finding the Fourth Proportional to 5,290.52, 7,301.24 and 3,052.80

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Solution

The fourth proportional to 5,290.52, 7,301.24 and 3,052.80 is: 4,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.52 : 7,301.24 = 3,052.80 : x
  2. Step 2: Convert to fraction form
    5,290.52/7,301.24 = 3,052.80/x
  3. Step 3: Cross multiply
    5,290.52x = 7,301.24 × 3,052.80
  4. Step 4: Simplify right side
    5,290.52x = 22,289,225.47
  5. Step 5: Solve for x
    x = 22,289,225.47/5,290.52
  6. Step 6: Final answer
    x = 4,213.05

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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.