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Finding the Fourth Proportional to 4,461.44, 6,690.76 and 1,863.84

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Solution

The fourth proportional to 4,461.44, 6,690.76 and 1,863.84 is: 2,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.44 : 6,690.76 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    4,461.44/6,690.76 = 1,863.84/x
  3. Step 3: Cross multiply
    4,461.44x = 6,690.76 × 1,863.84
  4. Step 4: Simplify right side
    4,461.44x = 12,470,506.12
  5. Step 5: Solve for x
    x = 12,470,506.12/4,461.44
  6. Step 6: Final answer
    x = 2,795.18

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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.