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Finding the Fourth Proportional to 5,774.39, 7,971.72 and 4,445.18

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Solution

The fourth proportional to 5,774.39, 7,971.72 and 4,445.18 is: 6,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.39 : 7,971.72 = 4,445.18 : x
  2. Step 2: Convert to fraction form
    5,774.39/7,971.72 = 4,445.18/x
  3. Step 3: Cross multiply
    5,774.39x = 7,971.72 × 4,445.18
  4. Step 4: Simplify right side
    5,774.39x = 35,435,730.31
  5. Step 5: Solve for x
    x = 35,435,730.31/5,774.39
  6. Step 6: Final answer
    x = 6,136.71

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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.