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Finding the Fourth Proportional to 3,735.29, 5,602.86 and 961.94

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Solution

The fourth proportional to 3,735.29, 5,602.86 and 961.94 is: 1,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.29 : 5,602.86 = 961.94 : x
  2. Step 2: Convert to fraction form
    3,735.29/5,602.86 = 961.94/x
  3. Step 3: Cross multiply
    3,735.29x = 5,602.86 × 961.94
  4. Step 4: Simplify right side
    3,735.29x = 5,389,587.13
  5. Step 5: Solve for x
    x = 5,389,587.13/3,735.29
  6. Step 6: Final answer
    x = 1,442.89

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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.