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Finding the Fourth Proportional to 6,557.55, 9,052.47 and 4,201.03

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Solution

The fourth proportional to 6,557.55, 9,052.47 and 4,201.03 is: 5,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.55 : 9,052.47 = 4,201.03 : x
  2. Step 2: Convert to fraction form
    6,557.55/9,052.47 = 4,201.03/x
  3. Step 3: Cross multiply
    6,557.55x = 9,052.47 × 4,201.03
  4. Step 4: Simplify right side
    6,557.55x = 38,029,698.04
  5. Step 5: Solve for x
    x = 38,029,698.04/6,557.55
  6. Step 6: Final answer
    x = 5,799.38

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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.