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Finding the Fourth Proportional to 4,657.38, 6,983.88 and 2,710.14

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Solution

The fourth proportional to 4,657.38, 6,983.88 and 2,710.14 is: 4,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.38 : 6,983.88 = 2,710.14 : x
  2. Step 2: Convert to fraction form
    4,657.38/6,983.88 = 2,710.14/x
  3. Step 3: Cross multiply
    4,657.38x = 6,983.88 × 2,710.14
  4. Step 4: Simplify right side
    4,657.38x = 18,927,292.54
  5. Step 5: Solve for x
    x = 18,927,292.54/4,657.38
  6. Step 6: Final answer
    x = 4,063.94

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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.