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Finding the Fourth Proportional to 4,774.82, 6,585.72 and 3,200.18

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Solution

The fourth proportional to 4,774.82, 6,585.72 and 3,200.18 is: 4,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.82 : 6,585.72 = 3,200.18 : x
  2. Step 2: Convert to fraction form
    4,774.82/6,585.72 = 3,200.18/x
  3. Step 3: Cross multiply
    4,774.82x = 6,585.72 × 3,200.18
  4. Step 4: Simplify right side
    4,774.82x = 21,075,489.43
  5. Step 5: Solve for x
    x = 21,075,489.43/4,774.82
  6. Step 6: Final answer
    x = 4,413.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.