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Finding the Fourth Proportional to 5,176.25, 7,740.51 and 3,844.55

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Solution

The fourth proportional to 5,176.25, 7,740.51 and 3,844.55 is: 5,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.25 : 7,740.51 = 3,844.55 : x
  2. Step 2: Convert to fraction form
    5,176.25/7,740.51 = 3,844.55/x
  3. Step 3: Cross multiply
    5,176.25x = 7,740.51 × 3,844.55
  4. Step 4: Simplify right side
    5,176.25x = 29,758,739.02
  5. Step 5: Solve for x
    x = 29,758,739.02/5,176.25
  6. Step 6: Final answer
    x = 5,749.10

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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.