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Finding the Fourth Proportional to 7,172.52, 9,898.54 and 4,028.64

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Solution

The fourth proportional to 7,172.52, 9,898.54 and 4,028.64 is: 5,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.52 : 9,898.54 = 4,028.64 : x
  2. Step 2: Convert to fraction form
    7,172.52/9,898.54 = 4,028.64/x
  3. Step 3: Cross multiply
    7,172.52x = 9,898.54 × 4,028.64
  4. Step 4: Simplify right side
    7,172.52x = 39,877,654.19
  5. Step 5: Solve for x
    x = 39,877,654.19/7,172.52
  6. Step 6: Final answer
    x = 5,559.78

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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.