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Finding the Fourth Proportional to 4,172.66, 6,259.02 and 1,399.55

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Solution

The fourth proportional to 4,172.66, 6,259.02 and 1,399.55 is: 2,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.66 : 6,259.02 = 1,399.55 : x
  2. Step 2: Convert to fraction form
    4,172.66/6,259.02 = 1,399.55/x
  3. Step 3: Cross multiply
    4,172.66x = 6,259.02 × 1,399.55
  4. Step 4: Simplify right side
    4,172.66x = 8,759,810.10
  5. Step 5: Solve for x
    x = 8,759,810.10/4,172.66
  6. Step 6: Final answer
    x = 2,099.33

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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.