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Finding the Fourth Proportional to 5,635.61, 7,777.21 and 3,117.65

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Solution

The fourth proportional to 5,635.61, 7,777.21 and 3,117.65 is: 4,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.61 : 7,777.21 = 3,117.65 : x
  2. Step 2: Convert to fraction form
    5,635.61/7,777.21 = 3,117.65/x
  3. Step 3: Cross multiply
    5,635.61x = 7,777.21 × 3,117.65
  4. Step 4: Simplify right side
    5,635.61x = 24,246,620.55
  5. Step 5: Solve for x
    x = 24,246,620.55/5,635.61
  6. Step 6: Final answer
    x = 4,302.40

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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.