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Finding the Fourth Proportional to 4,214.71, 6,323.88 and 2,264.64

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Solution

The fourth proportional to 4,214.71, 6,323.88 and 2,264.64 is: 3,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.71 : 6,323.88 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    4,214.71/6,323.88 = 2,264.64/x
  3. Step 3: Cross multiply
    4,214.71x = 6,323.88 × 2,264.64
  4. Step 4: Simplify right side
    4,214.71x = 14,321,296.38
  5. Step 5: Solve for x
    x = 14,321,296.38/4,214.71
  6. Step 6: Final answer
    x = 3,397.93

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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.