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Finding the Fourth Proportional to 4,089.84, 6,134.90 and 1,128.53

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Solution

The fourth proportional to 4,089.84, 6,134.90 and 1,128.53 is: 1,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.84 : 6,134.90 = 1,128.53 : x
  2. Step 2: Convert to fraction form
    4,089.84/6,134.90 = 1,128.53/x
  3. Step 3: Cross multiply
    4,089.84x = 6,134.90 × 1,128.53
  4. Step 4: Simplify right side
    4,089.84x = 6,923,382.38
  5. Step 5: Solve for x
    x = 6,923,382.38/4,089.84
  6. Step 6: Final answer
    x = 1,692.82

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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.