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Finding the Fourth Proportional to 6,155.10, 8,493.42 and 3,502.38

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Solution

The fourth proportional to 6,155.10, 8,493.42 and 3,502.38 is: 4,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.10 : 8,493.42 = 3,502.38 : x
  2. Step 2: Convert to fraction form
    6,155.10/8,493.42 = 3,502.38/x
  3. Step 3: Cross multiply
    6,155.10x = 8,493.42 × 3,502.38
  4. Step 4: Simplify right side
    6,155.10x = 29,747,184.34
  5. Step 5: Solve for x
    x = 29,747,184.34/6,155.10
  6. Step 6: Final answer
    x = 4,832.93

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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.