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Finding the Fourth Proportional to 4,100.76, 6,141.86 and 3,362.64

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Solution

The fourth proportional to 4,100.76, 6,141.86 and 3,362.64 is: 5,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.76 : 6,141.86 = 3,362.64 : x
  2. Step 2: Convert to fraction form
    4,100.76/6,141.86 = 3,362.64/x
  3. Step 3: Cross multiply
    4,100.76x = 6,141.86 × 3,362.64
  4. Step 4: Simplify right side
    4,100.76x = 20,652,864.11
  5. Step 5: Solve for x
    x = 20,652,864.11/4,100.76
  6. Step 6: Final answer
    x = 5,036.35

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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.