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Finding the Fourth Proportional to 4,172.30, 6,266.49 and 4,004.01

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Solution

The fourth proportional to 4,172.30, 6,266.49 and 4,004.01 is: 6,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.30 : 6,266.49 = 4,004.01 : x
  2. Step 2: Convert to fraction form
    4,172.30/6,266.49 = 4,004.01/x
  3. Step 3: Cross multiply
    4,172.30x = 6,266.49 × 4,004.01
  4. Step 4: Simplify right side
    4,172.30x = 25,091,088.62
  5. Step 5: Solve for x
    x = 25,091,088.62/4,172.30
  6. Step 6: Final answer
    x = 6,013.74

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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.