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Finding the Fourth Proportional to 5,396.40, 8,096.28 and 1,699.68

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Solution

The fourth proportional to 5,396.40, 8,096.28 and 1,699.68 is: 2,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.40 : 8,096.28 = 1,699.68 : x
  2. Step 2: Convert to fraction form
    5,396.40/8,096.28 = 1,699.68/x
  3. Step 3: Cross multiply
    5,396.40x = 8,096.28 × 1,699.68
  4. Step 4: Simplify right side
    5,396.40x = 13,761,085.19
  5. Step 5: Solve for x
    x = 13,761,085.19/5,396.40
  6. Step 6: Final answer
    x = 2,550.05

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1.5x scale

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.