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Finding the Fourth Proportional to 4,143.29, 6,214.92 and 1,223.64

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Solution

The fourth proportional to 4,143.29, 6,214.92 and 1,223.64 is: 1,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.29 : 6,214.92 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    4,143.29/6,214.92 = 1,223.64/x
  3. Step 3: Cross multiply
    4,143.29x = 6,214.92 × 1,223.64
  4. Step 4: Simplify right side
    4,143.29x = 7,604,824.71
  5. Step 5: Solve for x
    x = 7,604,824.71/4,143.29
  6. Step 6: Final answer
    x = 1,835.46

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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.