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Finding the Fourth Proportional to 3,840.75, 5,300.50 and 2,162.32

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Solution

The fourth proportional to 3,840.75, 5,300.50 and 2,162.32 is: 2,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,300.50 = 2,162.32 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,300.50 = 2,162.32/x
  3. Step 3: Cross multiply
    3,840.75x = 5,300.50 × 2,162.32
  4. Step 4: Simplify right side
    3,840.75x = 11,461,377.16
  5. Step 5: Solve for x
    x = 11,461,377.16/3,840.75
  6. Step 6: Final answer
    x = 2,984.15

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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.