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Finding the Fourth Proportional to 3,889.53, 5,830.98 and 1,696.65

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Solution

The fourth proportional to 3,889.53, 5,830.98 and 1,696.65 is: 2,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.53 : 5,830.98 = 1,696.65 : x
  2. Step 2: Convert to fraction form
    3,889.53/5,830.98 = 1,696.65/x
  3. Step 3: Cross multiply
    3,889.53x = 5,830.98 × 1,696.65
  4. Step 4: Simplify right side
    3,889.53x = 9,893,132.22
  5. Step 5: Solve for x
    x = 9,893,132.22/3,889.53
  6. Step 6: Final answer
    x = 2,543.53

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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.