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Finding the Fourth Proportional to 6,538.57, 9,023.20 and 3,554.39

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Solution

The fourth proportional to 6,538.57, 9,023.20 and 3,554.39 is: 4,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.57 : 9,023.20 = 3,554.39 : x
  2. Step 2: Convert to fraction form
    6,538.57/9,023.20 = 3,554.39/x
  3. Step 3: Cross multiply
    6,538.57x = 9,023.20 × 3,554.39
  4. Step 4: Simplify right side
    6,538.57x = 32,071,985.52
  5. Step 5: Solve for x
    x = 32,071,985.52/6,538.57
  6. Step 6: Final answer
    x = 4,905.05

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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.