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Finding the Fourth Proportional to 4,165.74, 5,753.03 and 3,603.51

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Solution

The fourth proportional to 4,165.74, 5,753.03 and 3,603.51 is: 4,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.74 : 5,753.03 = 3,603.51 : x
  2. Step 2: Convert to fraction form
    4,165.74/5,753.03 = 3,603.51/x
  3. Step 3: Cross multiply
    4,165.74x = 5,753.03 × 3,603.51
  4. Step 4: Simplify right side
    4,165.74x = 20,731,083.12
  5. Step 5: Solve for x
    x = 20,731,083.12/4,165.74
  6. Step 6: Final answer
    x = 4,976.57

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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.