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Finding the Fourth Proportional to 4,154.68, 6,235.67 and 3,505.87

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Solution

The fourth proportional to 4,154.68, 6,235.67 and 3,505.87 is: 5,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.68 : 6,235.67 = 3,505.87 : x
  2. Step 2: Convert to fraction form
    4,154.68/6,235.67 = 3,505.87/x
  3. Step 3: Cross multiply
    4,154.68x = 6,235.67 × 3,505.87
  4. Step 4: Simplify right side
    4,154.68x = 21,861,448.38
  5. Step 5: Solve for x
    x = 21,861,448.38/4,154.68
  6. Step 6: Final answer
    x = 5,261.89

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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.