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Finding the Fourth Proportional to 4,536.81, 6,803.45 and 1,763.12

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Solution

The fourth proportional to 4,536.81, 6,803.45 and 1,763.12 is: 2,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.81 : 6,803.45 = 1,763.12 : x
  2. Step 2: Convert to fraction form
    4,536.81/6,803.45 = 1,763.12/x
  3. Step 3: Cross multiply
    4,536.81x = 6,803.45 × 1,763.12
  4. Step 4: Simplify right side
    4,536.81x = 11,995,269.15
  5. Step 5: Solve for x
    x = 11,995,269.15/4,536.81
  6. Step 6: Final answer
    x = 2,643.99

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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.