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Finding the Fourth Proportional to 4,598.50, 6,881.34 and 3,984.31

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Solution

The fourth proportional to 4,598.50, 6,881.34 and 3,984.31 is: 5,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.50 : 6,881.34 = 3,984.31 : x
  2. Step 2: Convert to fraction form
    4,598.50/6,881.34 = 3,984.31/x
  3. Step 3: Cross multiply
    4,598.50x = 6,881.34 × 3,984.31
  4. Step 4: Simplify right side
    4,598.50x = 27,417,391.78
  5. Step 5: Solve for x
    x = 27,417,391.78/4,598.50
  6. Step 6: Final answer
    x = 5,962.25

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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.