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Finding the Fourth Proportional to 6,174.74, 8,522.13 and 3,523.01

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Solution

The fourth proportional to 6,174.74, 8,522.13 and 3,523.01 is: 4,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.74 : 8,522.13 = 3,523.01 : x
  2. Step 2: Convert to fraction form
    6,174.74/8,522.13 = 3,523.01/x
  3. Step 3: Cross multiply
    6,174.74x = 8,522.13 × 3,523.01
  4. Step 4: Simplify right side
    6,174.74x = 30,023,549.21
  5. Step 5: Solve for x
    x = 30,023,549.21/6,174.74
  6. Step 6: Final answer
    x = 4,862.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.