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Finding the Fourth Proportional to 4,885.84, 6,742.18 and 2,761.61

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Solution

The fourth proportional to 4,885.84, 6,742.18 and 2,761.61 is: 3,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.84 : 6,742.18 = 2,761.61 : x
  2. Step 2: Convert to fraction form
    4,885.84/6,742.18 = 2,761.61/x
  3. Step 3: Cross multiply
    4,885.84x = 6,742.18 × 2,761.61
  4. Step 4: Simplify right side
    4,885.84x = 18,619,271.71
  5. Step 5: Solve for x
    x = 18,619,271.71/4,885.84
  6. Step 6: Final answer
    x = 3,810.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.