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Finding the Fourth Proportional to 5,386.90, 8,069 and 2,467.66

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Solution

The fourth proportional to 5,386.90, 8,069 and 2,467.66 is: 3,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.90 : 8,069 = 2,467.66 : x
  2. Step 2: Convert to fraction form
    5,386.90/8,069 = 2,467.66/x
  3. Step 3: Cross multiply
    5,386.90x = 8,069 × 2,467.66
  4. Step 4: Simplify right side
    5,386.90x = 19,911,548.54
  5. Step 5: Solve for x
    x = 19,911,548.54/5,386.90
  6. Step 6: Final answer
    x = 3,696.29

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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.