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Finding the Fourth Proportional to 5,603.72, 8,407.42 and 2,682.24

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Solution

The fourth proportional to 5,603.72, 8,407.42 and 2,682.24 is: 4,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.72 : 8,407.42 = 2,682.24 : x
  2. Step 2: Convert to fraction form
    5,603.72/8,407.42 = 2,682.24/x
  3. Step 3: Cross multiply
    5,603.72x = 8,407.42 × 2,682.24
  4. Step 4: Simplify right side
    5,603.72x = 22,550,718.22
  5. Step 5: Solve for x
    x = 22,550,718.22/5,603.72
  6. Step 6: Final answer
    x = 4,024.24

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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.