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Finding the Fourth Proportional to 4,535.66, 6,802.19 and 1,761.74

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Solution

The fourth proportional to 4,535.66, 6,802.19 and 1,761.74 is: 2,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.66 : 6,802.19 = 1,761.74 : x
  2. Step 2: Convert to fraction form
    4,535.66/6,802.19 = 1,761.74/x
  3. Step 3: Cross multiply
    4,535.66x = 6,802.19 × 1,761.74
  4. Step 4: Simplify right side
    4,535.66x = 11,983,647.39
  5. Step 5: Solve for x
    x = 11,983,647.39/4,535.66
  6. Step 6: Final answer
    x = 2,642.10

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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.