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Finding the Fourth Proportional to 5,302.20, 7,971.30 and 4,335.32

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Solution

The fourth proportional to 5,302.20, 7,971.30 and 4,335.32 is: 6,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.20 : 7,971.30 = 4,335.32 : x
  2. Step 2: Convert to fraction form
    5,302.20/7,971.30 = 4,335.32/x
  3. Step 3: Cross multiply
    5,302.20x = 7,971.30 × 4,335.32
  4. Step 4: Simplify right side
    5,302.20x = 34,558,136.32
  5. Step 5: Solve for x
    x = 34,558,136.32/5,302.20
  6. Step 6: Final answer
    x = 6,517.70

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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.