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Finding the Fourth Proportional to 4,706.17, 6,491.81 and 2,934.70

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Solution

The fourth proportional to 4,706.17, 6,491.81 and 2,934.70 is: 4,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.17 : 6,491.81 = 2,934.70 : x
  2. Step 2: Convert to fraction form
    4,706.17/6,491.81 = 2,934.70/x
  3. Step 3: Cross multiply
    4,706.17x = 6,491.81 × 2,934.70
  4. Step 4: Simplify right side
    4,706.17x = 19,051,505.91
  5. Step 5: Solve for x
    x = 19,051,505.91/4,706.17
  6. Step 6: Final answer
    x = 4,048.20

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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.