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Finding the Fourth Proportional to 6,129.86, 8,459.32 and 3,477.38

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Solution

The fourth proportional to 6,129.86, 8,459.32 and 3,477.38 is: 4,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.86 : 8,459.32 = 3,477.38 : x
  2. Step 2: Convert to fraction form
    6,129.86/8,459.32 = 3,477.38/x
  3. Step 3: Cross multiply
    6,129.86x = 8,459.32 × 3,477.38
  4. Step 4: Simplify right side
    6,129.86x = 29,416,270.18
  5. Step 5: Solve for x
    x = 29,416,270.18/6,129.86
  6. Step 6: Final answer
    x = 4,798.85

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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.