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Finding the Fourth Proportional to 4,461.70, 6,156.64 and 2,471.75

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Solution

The fourth proportional to 4,461.70, 6,156.64 and 2,471.75 is: 3,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.70 : 6,156.64 = 2,471.75 : x
  2. Step 2: Convert to fraction form
    4,461.70/6,156.64 = 2,471.75/x
  3. Step 3: Cross multiply
    4,461.70x = 6,156.64 × 2,471.75
  4. Step 4: Simplify right side
    4,461.70x = 15,217,674.92
  5. Step 5: Solve for x
    x = 15,217,674.92/4,461.70
  6. Step 6: Final answer
    x = 3,410.73

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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.