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Finding the Fourth Proportional to 4,365.98, 6,549.23 and 2,172.50

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Solution

The fourth proportional to 4,365.98, 6,549.23 and 2,172.50 is: 3,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.98 : 6,549.23 = 2,172.50 : x
  2. Step 2: Convert to fraction form
    4,365.98/6,549.23 = 2,172.50/x
  3. Step 3: Cross multiply
    4,365.98x = 6,549.23 × 2,172.50
  4. Step 4: Simplify right side
    4,365.98x = 14,228,174.86
  5. Step 5: Solve for x
    x = 14,228,174.86/4,365.98
  6. Step 6: Final answer
    x = 3,258.88

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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.