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Finding the Fourth Proportional to 4,622.92, 6,937.52 and 2,158

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Solution

The fourth proportional to 4,622.92, 6,937.52 and 2,158 is: 3,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.92 : 6,937.52 = 2,158 : x
  2. Step 2: Convert to fraction form
    4,622.92/6,937.52 = 2,158/x
  3. Step 3: Cross multiply
    4,622.92x = 6,937.52 × 2,158
  4. Step 4: Simplify right side
    4,622.92x = 14,971,168.16
  5. Step 5: Solve for x
    x = 14,971,168.16/4,622.92
  6. Step 6: Final answer
    x = 3,238.47

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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.