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Finding the Fourth Proportional to 5,184.95, 7,774.29 and 2,065.43

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Solution

The fourth proportional to 5,184.95, 7,774.29 and 2,065.43 is: 3,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.95 : 7,774.29 = 2,065.43 : x
  2. Step 2: Convert to fraction form
    5,184.95/7,774.29 = 2,065.43/x
  3. Step 3: Cross multiply
    5,184.95x = 7,774.29 × 2,065.43
  4. Step 4: Simplify right side
    5,184.95x = 16,057,241.47
  5. Step 5: Solve for x
    x = 16,057,241.47/5,184.95
  6. Step 6: Final answer
    x = 3,096.90

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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.