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Finding the Fourth Proportional to 4,505.84, 6,758.14 and 1,909.38

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Solution

The fourth proportional to 4,505.84, 6,758.14 and 1,909.38 is: 2,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.84 : 6,758.14 = 1,909.38 : x
  2. Step 2: Convert to fraction form
    4,505.84/6,758.14 = 1,909.38/x
  3. Step 3: Cross multiply
    4,505.84x = 6,758.14 × 1,909.38
  4. Step 4: Simplify right side
    4,505.84x = 12,903,857.35
  5. Step 5: Solve for x
    x = 12,903,857.35/4,505.84
  6. Step 6: Final answer
    x = 2,863.81

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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.