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Finding the Fourth Proportional to 4,224.36, 6,334.70 and 1,302

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Solution

The fourth proportional to 4,224.36, 6,334.70 and 1,302 is: 1,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.36 : 6,334.70 = 1,302 : x
  2. Step 2: Convert to fraction form
    4,224.36/6,334.70 = 1,302/x
  3. Step 3: Cross multiply
    4,224.36x = 6,334.70 × 1,302
  4. Step 4: Simplify right side
    4,224.36x = 8,247,779.40
  5. Step 5: Solve for x
    x = 8,247,779.40/4,224.36
  6. Step 6: Final answer
    x = 1,952.43

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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.