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Finding the Fourth Proportional to 6,234, 8,603.10 and 3,439.68

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Solution

The fourth proportional to 6,234, 8,603.10 and 3,439.68 is: 4,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 8,603.10 = 3,439.68 : x
  2. Step 2: Convert to fraction form
    6,234/8,603.10 = 3,439.68/x
  3. Step 3: Cross multiply
    6,234x = 8,603.10 × 3,439.68
  4. Step 4: Simplify right side
    6,234x = 29,591,911.01
  5. Step 5: Solve for x
    x = 29,591,911.01/6,234
  6. Step 6: Final answer
    x = 4,746.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.