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Finding the Fourth Proportional to 4,310.70, 6,457.95 and 2,223.60

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Solution

The fourth proportional to 4,310.70, 6,457.95 and 2,223.60 is: 3,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.70 : 6,457.95 = 2,223.60 : x
  2. Step 2: Convert to fraction form
    4,310.70/6,457.95 = 2,223.60/x
  3. Step 3: Cross multiply
    4,310.70x = 6,457.95 × 2,223.60
  4. Step 4: Simplify right side
    4,310.70x = 14,359,897.62
  5. Step 5: Solve for x
    x = 14,359,897.62/4,310.70
  6. Step 6: Final answer
    x = 3,331.22

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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.