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Finding the Fourth Proportional to 5,184.83, 7,774.90 and 1,486.21

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Solution

The fourth proportional to 5,184.83, 7,774.90 and 1,486.21 is: 2,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.83 : 7,774.90 = 1,486.21 : x
  2. Step 2: Convert to fraction form
    5,184.83/7,774.90 = 1,486.21/x
  3. Step 3: Cross multiply
    5,184.83x = 7,774.90 × 1,486.21
  4. Step 4: Simplify right side
    5,184.83x = 11,555,134.13
  5. Step 5: Solve for x
    x = 11,555,134.13/5,184.83
  6. Step 6: Final answer
    x = 2,228.64

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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.