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Finding the Fourth Proportional to 4,223.40, 6,335.10 and 4,158.60

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Solution

The fourth proportional to 4,223.40, 6,335.10 and 4,158.60 is: 6,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.40 : 6,335.10 = 4,158.60 : x
  2. Step 2: Convert to fraction form
    4,223.40/6,335.10 = 4,158.60/x
  3. Step 3: Cross multiply
    4,223.40x = 6,335.10 × 4,158.60
  4. Step 4: Simplify right side
    4,223.40x = 26,345,146.86
  5. Step 5: Solve for x
    x = 26,345,146.86/4,223.40
  6. Step 6: Final answer
    x = 6,237.90

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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.