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Finding the Fourth Proportional to 4,743.18, 7,109.22 and 3,569.42

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Solution

The fourth proportional to 4,743.18, 7,109.22 and 3,569.42 is: 5,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.18 : 7,109.22 = 3,569.42 : x
  2. Step 2: Convert to fraction form
    4,743.18/7,109.22 = 3,569.42/x
  3. Step 3: Cross multiply
    4,743.18x = 7,109.22 × 3,569.42
  4. Step 4: Simplify right side
    4,743.18x = 25,375,756.51
  5. Step 5: Solve for x
    x = 25,375,756.51/4,743.18
  6. Step 6: Final answer
    x = 5,349.95

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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.