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Finding the Fourth Proportional to 4,316.52, 6,470.42 and 1,682.38

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Solution

The fourth proportional to 4,316.52, 6,470.42 and 1,682.38 is: 2,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.52 : 6,470.42 = 1,682.38 : x
  2. Step 2: Convert to fraction form
    4,316.52/6,470.42 = 1,682.38/x
  3. Step 3: Cross multiply
    4,316.52x = 6,470.42 × 1,682.38
  4. Step 4: Simplify right side
    4,316.52x = 10,885,664.44
  5. Step 5: Solve for x
    x = 10,885,664.44/4,316.52
  6. Step 6: Final answer
    x = 2,521.86

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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.