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Finding the Fourth Proportional to 4,204.40, 6,306.60 and 4,139.60

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Solution

The fourth proportional to 4,204.40, 6,306.60 and 4,139.60 is: 6,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.40 : 6,306.60 = 4,139.60 : x
  2. Step 2: Convert to fraction form
    4,204.40/6,306.60 = 4,139.60/x
  3. Step 3: Cross multiply
    4,204.40x = 6,306.60 × 4,139.60
  4. Step 4: Simplify right side
    4,204.40x = 26,106,801.36
  5. Step 5: Solve for x
    x = 26,106,801.36/4,204.40
  6. Step 6: Final answer
    x = 6,209.40

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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.