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Finding the Fourth Proportional to 4,214.70, 6,323.90 and 2,264.63

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Solution

The fourth proportional to 4,214.70, 6,323.90 and 2,264.63 is: 3,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.70 : 6,323.90 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    4,214.70/6,323.90 = 2,264.63/x
  3. Step 3: Cross multiply
    4,214.70x = 6,323.90 × 2,264.63
  4. Step 4: Simplify right side
    4,214.70x = 14,321,250.71
  5. Step 5: Solve for x
    x = 14,321,250.71/4,214.70
  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.