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Finding the Fourth Proportional to 5,180.95, 7,771.36 and 3,101.53

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Solution

The fourth proportional to 5,180.95, 7,771.36 and 3,101.53 is: 4,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.95 : 7,771.36 = 3,101.53 : x
  2. Step 2: Convert to fraction form
    5,180.95/7,771.36 = 3,101.53/x
  3. Step 3: Cross multiply
    5,180.95x = 7,771.36 × 3,101.53
  4. Step 4: Simplify right side
    5,180.95x = 24,103,106.18
  5. Step 5: Solve for x
    x = 24,103,106.18/5,180.95
  6. Step 6: Final answer
    x = 4,652.26

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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.