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Finding the Fourth Proportional to 4,535.64, 6,804.63 and 1,761.57

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Solution

The fourth proportional to 4,535.64, 6,804.63 and 1,761.57 is: 2,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.64 : 6,804.63 = 1,761.57 : x
  2. Step 2: Convert to fraction form
    4,535.64/6,804.63 = 1,761.57/x
  3. Step 3: Cross multiply
    4,535.64x = 6,804.63 × 1,761.57
  4. Step 4: Simplify right side
    4,535.64x = 11,986,832.07
  5. Step 5: Solve for x
    x = 11,986,832.07/4,535.64
  6. Step 6: Final answer
    x = 2,642.81

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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.