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Finding the Fourth Proportional to 5,183.40, 7,775.10 and 5,140.20

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Solution

The fourth proportional to 5,183.40, 7,775.10 and 5,140.20 is: 7,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.40 : 7,775.10 = 5,140.20 : x
  2. Step 2: Convert to fraction form
    5,183.40/7,775.10 = 5,140.20/x
  3. Step 3: Cross multiply
    5,183.40x = 7,775.10 × 5,140.20
  4. Step 4: Simplify right side
    5,183.40x = 39,965,569.02
  5. Step 5: Solve for x
    x = 39,965,569.02/5,183.40
  6. Step 6: Final answer
    x = 7,710.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.