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Finding the Fourth Proportional to 4,292.26, 6,399.95 and 4,214.50

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Solution

The fourth proportional to 4,292.26, 6,399.95 and 4,214.50 is: 6,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.26 : 6,399.95 = 4,214.50 : x
  2. Step 2: Convert to fraction form
    4,292.26/6,399.95 = 4,214.50/x
  3. Step 3: Cross multiply
    4,292.26x = 6,399.95 × 4,214.50
  4. Step 4: Simplify right side
    4,292.26x = 26,972,568.20
  5. Step 5: Solve for x
    x = 26,972,568.20/4,292.26
  6. Step 6: Final answer
    x = 6,284.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.