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Finding the Fourth Proportional to 3,157.16, 4,737.34 and 2,129

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Solution

The fourth proportional to 3,157.16, 4,737.34 and 2,129 is: 3,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.16 : 4,737.34 = 2,129 : x
  2. Step 2: Convert to fraction form
    3,157.16/4,737.34 = 2,129/x
  3. Step 3: Cross multiply
    3,157.16x = 4,737.34 × 2,129
  4. Step 4: Simplify right side
    3,157.16x = 10,085,796.86
  5. Step 5: Solve for x
    x = 10,085,796.86/3,157.16
  6. Step 6: Final answer
    x = 3,194.58

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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.