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Finding the Fourth Proportional to 3,715.00, 5,572.53 and 941.69

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Solution

The fourth proportional to 3,715.00, 5,572.53 and 941.69 is: 1,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.00 : 5,572.53 = 941.69 : x
  2. Step 2: Convert to fraction form
    3,715.00/5,572.53 = 941.69/x
  3. Step 3: Cross multiply
    3,715.00x = 5,572.53 × 941.69
  4. Step 4: Simplify right side
    3,715.00x = 5,247,609.71
  5. Step 5: Solve for x
    x = 5,247,609.71/3,715.00
  6. Step 6: Final answer
    x = 1,412.55

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Why These Related Problems?

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