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Finding the Fourth Proportional to 5,184.57, 7,774.80 and 2,260.83

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Solution

The fourth proportional to 5,184.57, 7,774.80 and 2,260.83 is: 3,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.57 : 7,774.80 = 2,260.83 : x
  2. Step 2: Convert to fraction form
    5,184.57/7,774.80 = 2,260.83/x
  3. Step 3: Cross multiply
    5,184.57x = 7,774.80 × 2,260.83
  4. Step 4: Simplify right side
    5,184.57x = 17,577,490.75
  5. Step 5: Solve for x
    x = 17,577,490.75/5,184.57
  6. Step 6: Final answer
    x = 3,390.34

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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.