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Finding the Fourth Proportional to 4,606.55, 6,909.87 and 1,143.80

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Solution

The fourth proportional to 4,606.55, 6,909.87 and 1,143.80 is: 1,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.55 : 6,909.87 = 1,143.80 : x
  2. Step 2: Convert to fraction form
    4,606.55/6,909.87 = 1,143.80/x
  3. Step 3: Cross multiply
    4,606.55x = 6,909.87 × 1,143.80
  4. Step 4: Simplify right side
    4,606.55x = 7,903,496.38
  5. Step 5: Solve for x
    x = 7,903,496.38/4,606.55
  6. Step 6: Final answer
    x = 1,715.71

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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.