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Finding the Fourth Proportional to 4,057.61, 6,087.11 and 1,284.23

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Solution

The fourth proportional to 4,057.61, 6,087.11 and 1,284.23 is: 1,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.61 : 6,087.11 = 1,284.23 : x
  2. Step 2: Convert to fraction form
    4,057.61/6,087.11 = 1,284.23/x
  3. Step 3: Cross multiply
    4,057.61x = 6,087.11 × 1,284.23
  4. Step 4: Simplify right side
    4,057.61x = 7,817,258.07
  5. Step 5: Solve for x
    x = 7,817,258.07/4,057.61
  6. Step 6: Final answer
    x = 1,926.57

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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.