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Finding the Fourth Proportional to 5,837.52, 8,051.10 and 3,595.38

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Solution

The fourth proportional to 5,837.52, 8,051.10 and 3,595.38 is: 4,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.52 : 8,051.10 = 3,595.38 : x
  2. Step 2: Convert to fraction form
    5,837.52/8,051.10 = 3,595.38/x
  3. Step 3: Cross multiply
    5,837.52x = 8,051.10 × 3,595.38
  4. Step 4: Simplify right side
    5,837.52x = 28,946,763.92
  5. Step 5: Solve for x
    x = 28,946,763.92/5,837.52
  6. Step 6: Final answer
    x = 4,958.74

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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.