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Finding the Fourth Proportional to 5,737.36, 7,920.18 and 4,410.60

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Solution

The fourth proportional to 5,737.36, 7,920.18 and 4,410.60 is: 6,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.36 : 7,920.18 = 4,410.60 : x
  2. Step 2: Convert to fraction form
    5,737.36/7,920.18 = 4,410.60/x
  3. Step 3: Cross multiply
    5,737.36x = 7,920.18 × 4,410.60
  4. Step 4: Simplify right side
    5,737.36x = 34,932,745.91
  5. Step 5: Solve for x
    x = 34,932,745.91/5,737.36
  6. Step 6: Final answer
    x = 6,088.64

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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.