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Finding the Fourth Proportional to 5,509.35, 7,602.89 and 2,991.47

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Solution

The fourth proportional to 5,509.35, 7,602.89 and 2,991.47 is: 4,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.35 : 7,602.89 = 2,991.47 : x
  2. Step 2: Convert to fraction form
    5,509.35/7,602.89 = 2,991.47/x
  3. Step 3: Cross multiply
    5,509.35x = 7,602.89 × 2,991.47
  4. Step 4: Simplify right side
    5,509.35x = 22,743,764.38
  5. Step 5: Solve for x
    x = 22,743,764.38/5,509.35
  6. Step 6: Final answer
    x = 4,128.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.