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Finding the Fourth Proportional to 5,269.60, 7,271.64 and 3,031.60

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Solution

The fourth proportional to 5,269.60, 7,271.64 and 3,031.60 is: 4,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.60 : 7,271.64 = 3,031.60 : x
  2. Step 2: Convert to fraction form
    5,269.60/7,271.64 = 3,031.60/x
  3. Step 3: Cross multiply
    5,269.60x = 7,271.64 × 3,031.60
  4. Step 4: Simplify right side
    5,269.60x = 22,044,703.82
  5. Step 5: Solve for x
    x = 22,044,703.82/5,269.60
  6. Step 6: Final answer
    x = 4,183.37

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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.