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Finding the Fourth Proportional to 3,840.72, 5,300.76 and 2,162.82

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Solution

The fourth proportional to 3,840.72, 5,300.76 and 2,162.82 is: 2,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.72 : 5,300.76 = 2,162.82 : x
  2. Step 2: Convert to fraction form
    3,840.72/5,300.76 = 2,162.82/x
  3. Step 3: Cross multiply
    3,840.72x = 5,300.76 × 2,162.82
  4. Step 4: Simplify right side
    3,840.72x = 11,464,589.74
  5. Step 5: Solve for x
    x = 11,464,589.74/3,840.72
  6. Step 6: Final answer
    x = 2,985.01

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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.