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Finding the Fourth Proportional to 4,960.14, 6,843.06 and 2,970.78

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Solution

The fourth proportional to 4,960.14, 6,843.06 and 2,970.78 is: 4,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.14 : 6,843.06 = 2,970.78 : x
  2. Step 2: Convert to fraction form
    4,960.14/6,843.06 = 2,970.78/x
  3. Step 3: Cross multiply
    4,960.14x = 6,843.06 × 2,970.78
  4. Step 4: Simplify right side
    4,960.14x = 20,329,225.79
  5. Step 5: Solve for x
    x = 20,329,225.79/4,960.14
  6. Step 6: Final answer
    x = 4,098.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.