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Finding the Fourth Proportional to 4,702.23, 7,038.09 and 3,469.14

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Solution

The fourth proportional to 4,702.23, 7,038.09 and 3,469.14 is: 5,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.23 : 7,038.09 = 3,469.14 : x
  2. Step 2: Convert to fraction form
    4,702.23/7,038.09 = 3,469.14/x
  3. Step 3: Cross multiply
    4,702.23x = 7,038.09 × 3,469.14
  4. Step 4: Simplify right side
    4,702.23x = 24,416,119.54
  5. Step 5: Solve for x
    x = 24,416,119.54/4,702.23
  6. Step 6: Final answer
    x = 5,192.46

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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.