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Finding the Fourth Proportional to 4,956.92, 6,840.96 and 4,070.24

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Solution

The fourth proportional to 4,956.92, 6,840.96 and 4,070.24 is: 5,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.92 : 6,840.96 = 4,070.24 : x
  2. Step 2: Convert to fraction form
    4,956.92/6,840.96 = 4,070.24/x
  3. Step 3: Cross multiply
    4,956.92x = 6,840.96 × 4,070.24
  4. Step 4: Simplify right side
    4,956.92x = 27,844,349.03
  5. Step 5: Solve for x
    x = 27,844,349.03/4,956.92
  6. Step 6: Final answer
    x = 5,617.27

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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.