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Finding the Fourth Proportional to 4,266.06, 6,399.06 and 1,146.06

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Solution

The fourth proportional to 4,266.06, 6,399.06 and 1,146.06 is: 1,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.06 : 6,399.06 = 1,146.06 : x
  2. Step 2: Convert to fraction form
    4,266.06/6,399.06 = 1,146.06/x
  3. Step 3: Cross multiply
    4,266.06x = 6,399.06 × 1,146.06
  4. Step 4: Simplify right side
    4,266.06x = 7,333,706.70
  5. Step 5: Solve for x
    x = 7,333,706.70/4,266.06
  6. Step 6: Final answer
    x = 1,719.08

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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.