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Finding the Fourth Proportional to 4,963.75, 7,446.11 and 1,266.01

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Solution

The fourth proportional to 4,963.75, 7,446.11 and 1,266.01 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.75 : 7,446.11 = 1,266.01 : x
  2. Step 2: Convert to fraction form
    4,963.75/7,446.11 = 1,266.01/x
  3. Step 3: Cross multiply
    4,963.75x = 7,446.11 × 1,266.01
  4. Step 4: Simplify right side
    4,963.75x = 9,426,855.40
  5. Step 5: Solve for x
    x = 9,426,855.40/4,963.75
  6. Step 6: Final answer
    x = 1,899.14

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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.