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Finding the Fourth Proportional to 6,057.53, 9,089.86 and 3,284.13

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Solution

The fourth proportional to 6,057.53, 9,089.86 and 3,284.13 is: 4,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.53 : 9,089.86 = 3,284.13 : x
  2. Step 2: Convert to fraction form
    6,057.53/9,089.86 = 3,284.13/x
  3. Step 3: Cross multiply
    6,057.53x = 9,089.86 × 3,284.13
  4. Step 4: Simplify right side
    6,057.53x = 29,852,281.92
  5. Step 5: Solve for x
    x = 29,852,281.92/6,057.53
  6. Step 6: Final answer
    x = 4,928.13

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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.