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Finding the Fourth Proportional to 5,506.67, 7,597.04 and 3,147.54

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Solution

The fourth proportional to 5,506.67, 7,597.04 and 3,147.54 is: 4,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.67 : 7,597.04 = 3,147.54 : x
  2. Step 2: Convert to fraction form
    5,506.67/7,597.04 = 3,147.54/x
  3. Step 3: Cross multiply
    5,506.67x = 7,597.04 × 3,147.54
  4. Step 4: Simplify right side
    5,506.67x = 23,911,971.54
  5. Step 5: Solve for x
    x = 23,911,971.54/5,506.67
  6. Step 6: Final answer
    x = 4,342.37

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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.