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Finding the Fourth Proportional to 5,396.28, 8,095 and 1,698.62

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Solution

The fourth proportional to 5,396.28, 8,095 and 1,698.62 is: 2,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.28 : 8,095 = 1,698.62 : x
  2. Step 2: Convert to fraction form
    5,396.28/8,095 = 1,698.62/x
  3. Step 3: Cross multiply
    5,396.28x = 8,095 × 1,698.62
  4. Step 4: Simplify right side
    5,396.28x = 13,750,328.90
  5. Step 5: Solve for x
    x = 13,750,328.90/5,396.28
  6. Step 6: Final answer
    x = 2,548.11

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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.