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Finding the Fourth Proportional to 4,223, 6,335.40 and 1,301.60

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Solution

The fourth proportional to 4,223, 6,335.40 and 1,301.60 is: 1,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223 : 6,335.40 = 1,301.60 : x
  2. Step 2: Convert to fraction form
    4,223/6,335.40 = 1,301.60/x
  3. Step 3: Cross multiply
    4,223x = 6,335.40 × 1,301.60
  4. Step 4: Simplify right side
    4,223x = 8,246,156.64
  5. Step 5: Solve for x
    x = 8,246,156.64/4,223
  6. Step 6: Final answer
    x = 1,952.68

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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.