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Finding the Fourth Proportional to 4,284.25, 6,427.02 and 1,510.44

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Solution

The fourth proportional to 4,284.25, 6,427.02 and 1,510.44 is: 2,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.25 : 6,427.02 = 1,510.44 : x
  2. Step 2: Convert to fraction form
    4,284.25/6,427.02 = 1,510.44/x
  3. Step 3: Cross multiply
    4,284.25x = 6,427.02 × 1,510.44
  4. Step 4: Simplify right side
    4,284.25x = 9,707,628.09
  5. Step 5: Solve for x
    x = 9,707,628.09/4,284.25
  6. Step 6: Final answer
    x = 2,265.89

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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.