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Finding the Fourth Proportional to 4,102.24, 6,150.24 and 1,504.72

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Solution

The fourth proportional to 4,102.24, 6,150.24 and 1,504.72 is: 2,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.24 : 6,150.24 = 1,504.72 : x
  2. Step 2: Convert to fraction form
    4,102.24/6,150.24 = 1,504.72/x
  3. Step 3: Cross multiply
    4,102.24x = 6,150.24 × 1,504.72
  4. Step 4: Simplify right side
    4,102.24x = 9,254,389.13
  5. Step 5: Solve for x
    x = 9,254,389.13/4,102.24
  6. Step 6: Final answer
    x = 2,255.94

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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.