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Finding the Fourth Proportional to 4,537, 6,241.62 and 4,342.60

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Solution

The fourth proportional to 4,537, 6,241.62 and 4,342.60 is: 5,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537 : 6,241.62 = 4,342.60 : x
  2. Step 2: Convert to fraction form
    4,537/6,241.62 = 4,342.60/x
  3. Step 3: Cross multiply
    4,537x = 6,241.62 × 4,342.60
  4. Step 4: Simplify right side
    4,537x = 27,104,859.01
  5. Step 5: Solve for x
    x = 27,104,859.01/4,537
  6. Step 6: Final answer
    x = 5,974.18

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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.