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Finding the Fourth Proportional to 5,269.44, 7,271 and 3,031.40

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Solution

The fourth proportional to 5,269.44, 7,271 and 3,031.40 is: 4,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.44 : 7,271 = 3,031.40 : x
  2. Step 2: Convert to fraction form
    5,269.44/7,271 = 3,031.40/x
  3. Step 3: Cross multiply
    5,269.44x = 7,271 × 3,031.40
  4. Step 4: Simplify right side
    5,269.44x = 22,041,309.40
  5. Step 5: Solve for x
    x = 22,041,309.40/5,269.44
  6. Step 6: Final answer
    x = 4,182.86

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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.