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Finding the Fourth Proportional to 4,538.62, 6,805.63 and 1,763.16

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Solution

The fourth proportional to 4,538.62, 6,805.63 and 1,763.16 is: 2,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.62 : 6,805.63 = 1,763.16 : x
  2. Step 2: Convert to fraction form
    4,538.62/6,805.63 = 1,763.16/x
  3. Step 3: Cross multiply
    4,538.62x = 6,805.63 × 1,763.16
  4. Step 4: Simplify right side
    4,538.62x = 11,999,414.59
  5. Step 5: Solve for x
    x = 11,999,414.59/4,538.62
  6. Step 6: Final answer
    x = 2,643.85

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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.