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Finding the Fourth Proportional to 4,242.97, 6,368.20 and 2,270.22

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Solution

The fourth proportional to 4,242.97, 6,368.20 and 2,270.22 is: 3,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.97 : 6,368.20 = 2,270.22 : x
  2. Step 2: Convert to fraction form
    4,242.97/6,368.20 = 2,270.22/x
  3. Step 3: Cross multiply
    4,242.97x = 6,368.20 × 2,270.22
  4. Step 4: Simplify right side
    4,242.97x = 14,457,215.00
  5. Step 5: Solve for x
    x = 14,457,215.00/4,242.97
  6. Step 6: Final answer
    x = 3,407.33

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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.