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Finding the Fourth Proportional to 4,473.90, 6,702.38 and 4,286.22

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Solution

The fourth proportional to 4,473.90, 6,702.38 and 4,286.22 is: 6,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.90 : 6,702.38 = 4,286.22 : x
  2. Step 2: Convert to fraction form
    4,473.90/6,702.38 = 4,286.22/x
  3. Step 3: Cross multiply
    4,473.90x = 6,702.38 × 4,286.22
  4. Step 4: Simplify right side
    4,473.90x = 28,727,875.20
  5. Step 5: Solve for x
    x = 28,727,875.20/4,473.90
  6. Step 6: Final answer
    x = 6,421.22

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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.