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Finding the Fourth Proportional to 5,435.64, 8,134.93 and 3,770.33

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Solution

The fourth proportional to 5,435.64, 8,134.93 and 3,770.33 is: 5,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.64 : 8,134.93 = 3,770.33 : x
  2. Step 2: Convert to fraction form
    5,435.64/8,134.93 = 3,770.33/x
  3. Step 3: Cross multiply
    5,435.64x = 8,134.93 × 3,770.33
  4. Step 4: Simplify right side
    5,435.64x = 30,671,320.53
  5. Step 5: Solve for x
    x = 30,671,320.53/5,435.64
  6. Step 6: Final answer
    x = 5,642.63

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