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Finding the Fourth Proportional to 4,461.86, 6,157.41 and 2,472.32

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Solution

The fourth proportional to 4,461.86, 6,157.41 and 2,472.32 is: 3,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.86 : 6,157.41 = 2,472.32 : x
  2. Step 2: Convert to fraction form
    4,461.86/6,157.41 = 2,472.32/x
  3. Step 3: Cross multiply
    4,461.86x = 6,157.41 × 2,472.32
  4. Step 4: Simplify right side
    4,461.86x = 15,223,087.89
  5. Step 5: Solve for x
    x = 15,223,087.89/4,461.86
  6. Step 6: Final answer
    x = 3,411.83

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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.