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Finding the Fourth Proportional to 4,461.92, 6,157.05 and 2,471.96

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Solution

The fourth proportional to 4,461.92, 6,157.05 and 2,471.96 is: 3,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.92 : 6,157.05 = 2,471.96 : x
  2. Step 2: Convert to fraction form
    4,461.92/6,157.05 = 2,471.96/x
  3. Step 3: Cross multiply
    4,461.92x = 6,157.05 × 2,471.96
  4. Step 4: Simplify right side
    4,461.92x = 15,219,950.53
  5. Step 5: Solve for x
    x = 15,219,950.53/4,461.92
  6. Step 6: Final answer
    x = 3,411.08

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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.