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Finding the Fourth Proportional to 4,470.83, 6,706.24 and 1,696.84

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Solution

The fourth proportional to 4,470.83, 6,706.24 and 1,696.84 is: 2,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.83 : 6,706.24 = 1,696.84 : x
  2. Step 2: Convert to fraction form
    4,470.83/6,706.24 = 1,696.84/x
  3. Step 3: Cross multiply
    4,470.83x = 6,706.24 × 1,696.84
  4. Step 4: Simplify right side
    4,470.83x = 11,379,395.27
  5. Step 5: Solve for x
    x = 11,379,395.27/4,470.83
  6. Step 6: Final answer
    x = 2,545.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.