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Finding the Fourth Proportional to 4,282.67, 6,425.35 and 1,509.23

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Solution

The fourth proportional to 4,282.67, 6,425.35 and 1,509.23 is: 2,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.67 : 6,425.35 = 1,509.23 : x
  2. Step 2: Convert to fraction form
    4,282.67/6,425.35 = 1,509.23/x
  3. Step 3: Cross multiply
    4,282.67x = 6,425.35 × 1,509.23
  4. Step 4: Simplify right side
    4,282.67x = 9,697,295.08
  5. Step 5: Solve for x
    x = 9,697,295.08/4,282.67
  6. Step 6: Final answer
    x = 2,264.31

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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.