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Finding the Fourth Proportional to 6,144.92, 8,477.30 and 4,154.76

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Solution

The fourth proportional to 6,144.92, 8,477.30 and 4,154.76 is: 5,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.92 : 8,477.30 = 4,154.76 : x
  2. Step 2: Convert to fraction form
    6,144.92/8,477.30 = 4,154.76/x
  3. Step 3: Cross multiply
    6,144.92x = 8,477.30 × 4,154.76
  4. Step 4: Simplify right side
    6,144.92x = 35,221,146.95
  5. Step 5: Solve for x
    x = 35,221,146.95/6,144.92
  6. Step 6: Final answer
    x = 5,731.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.