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Finding the Fourth Proportional to 4,741.93, 6,535.14 and 3,800.84

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Solution

The fourth proportional to 4,741.93, 6,535.14 and 3,800.84 is: 5,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.93 : 6,535.14 = 3,800.84 : x
  2. Step 2: Convert to fraction form
    4,741.93/6,535.14 = 3,800.84/x
  3. Step 3: Cross multiply
    4,741.93x = 6,535.14 × 3,800.84
  4. Step 4: Simplify right side
    4,741.93x = 24,838,974.59
  5. Step 5: Solve for x
    x = 24,838,974.59/4,741.93
  6. Step 6: Final answer
    x = 5,238.16

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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.