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Finding the Fourth Proportional to 4,737.16, 7,111.62 and 3,157.24

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Solution

The fourth proportional to 4,737.16, 7,111.62 and 3,157.24 is: 4,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.16 : 7,111.62 = 3,157.24 : x
  2. Step 2: Convert to fraction form
    4,737.16/7,111.62 = 3,157.24/x
  3. Step 3: Cross multiply
    4,737.16x = 7,111.62 × 3,157.24
  4. Step 4: Simplify right side
    4,737.16x = 22,453,091.13
  5. Step 5: Solve for x
    x = 22,453,091.13/4,737.16
  6. Step 6: Final answer
    x = 4,739.78

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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.