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Finding the Fourth Proportional to 4,314.20, 6,461.70 and 4,218.20

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Solution

The fourth proportional to 4,314.20, 6,461.70 and 4,218.20 is: 6,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.20 : 6,461.70 = 4,218.20 : x
  2. Step 2: Convert to fraction form
    4,314.20/6,461.70 = 4,218.20/x
  3. Step 3: Cross multiply
    4,314.20x = 6,461.70 × 4,218.20
  4. Step 4: Simplify right side
    4,314.20x = 27,256,742.94
  5. Step 5: Solve for x
    x = 27,256,742.94/4,314.20
  6. Step 6: Final answer
    x = 6,317.91

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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.