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Finding the Fourth Proportional to 4,333.92, 6,502.80 and 3,165

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Solution

The fourth proportional to 4,333.92, 6,502.80 and 3,165 is: 4,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.92 : 6,502.80 = 3,165 : x
  2. Step 2: Convert to fraction form
    4,333.92/6,502.80 = 3,165/x
  3. Step 3: Cross multiply
    4,333.92x = 6,502.80 × 3,165
  4. Step 4: Simplify right side
    4,333.92x = 20,581,362
  5. Step 5: Solve for x
    x = 20,581,362/4,333.92
  6. Step 6: Final answer
    x = 4,748.90

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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.