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Finding the Fourth Proportional to 4,232.84, 6,349.26 and 2,041.16

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Solution

The fourth proportional to 4,232.84, 6,349.26 and 2,041.16 is: 3,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.84 : 6,349.26 = 2,041.16 : x
  2. Step 2: Convert to fraction form
    4,232.84/6,349.26 = 2,041.16/x
  3. Step 3: Cross multiply
    4,232.84x = 6,349.26 × 2,041.16
  4. Step 4: Simplify right side
    4,232.84x = 12,959,855.54
  5. Step 5: Solve for x
    x = 12,959,855.54/4,232.84
  6. Step 6: Final answer
    x = 3,061.74

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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.