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Finding the Fourth Proportional to 4,535.39, 6,803.80 and 1,761.95

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Solution

The fourth proportional to 4,535.39, 6,803.80 and 1,761.95 is: 2,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.39 : 6,803.80 = 1,761.95 : x
  2. Step 2: Convert to fraction form
    4,535.39/6,803.80 = 1,761.95/x
  3. Step 3: Cross multiply
    4,535.39x = 6,803.80 × 1,761.95
  4. Step 4: Simplify right side
    4,535.39x = 11,987,968.01
  5. Step 5: Solve for x
    x = 11,987,968.01/4,535.39
  6. Step 6: Final answer
    x = 2,643.20

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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.