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Finding the Fourth Proportional to 5,603.74, 8,407.43 and 2,682.25

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Solution

The fourth proportional to 5,603.74, 8,407.43 and 2,682.25 is: 4,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.74 : 8,407.43 = 2,682.25 : x
  2. Step 2: Convert to fraction form
    5,603.74/8,407.43 = 2,682.25/x
  3. Step 3: Cross multiply
    5,603.74x = 8,407.43 × 2,682.25
  4. Step 4: Simplify right side
    5,603.74x = 22,550,815.71
  5. Step 5: Solve for x
    x = 22,550,815.71/5,603.74
  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.