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Finding the Fourth Proportional to 4,170.34, 6,262.67 and 3,702.87

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Solution

The fourth proportional to 4,170.34, 6,262.67 and 3,702.87 is: 5,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.34 : 6,262.67 = 3,702.87 : x
  2. Step 2: Convert to fraction form
    4,170.34/6,262.67 = 3,702.87/x
  3. Step 3: Cross multiply
    4,170.34x = 6,262.67 × 3,702.87
  4. Step 4: Simplify right side
    4,170.34x = 23,189,848.23
  5. Step 5: Solve for x
    x = 23,189,848.23/4,170.34
  6. Step 6: Final answer
    x = 5,560.66

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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.