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Finding the Fourth Proportional to 4,257.65, 6,386.46 and 1,336.17

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Solution

The fourth proportional to 4,257.65, 6,386.46 and 1,336.17 is: 2,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.65 : 6,386.46 = 1,336.17 : x
  2. Step 2: Convert to fraction form
    4,257.65/6,386.46 = 1,336.17/x
  3. Step 3: Cross multiply
    4,257.65x = 6,386.46 × 1,336.17
  4. Step 4: Simplify right side
    4,257.65x = 8,533,396.26
  5. Step 5: Solve for x
    x = 8,533,396.26/4,257.65
  6. Step 6: Final answer
    x = 2,004.25

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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.