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Finding the Fourth Proportional to 4,461.94, 6,157.41 and 2,472.49

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Solution

The fourth proportional to 4,461.94, 6,157.41 and 2,472.49 is: 3,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.94 : 6,157.41 = 2,472.49 : x
  2. Step 2: Convert to fraction form
    4,461.94/6,157.41 = 2,472.49/x
  3. Step 3: Cross multiply
    4,461.94x = 6,157.41 × 2,472.49
  4. Step 4: Simplify right side
    4,461.94x = 15,224,122.29
  5. Step 5: Solve for x
    x = 15,224,122.29/4,461.94
  6. Step 6: Final answer
    x = 3,412.00

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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.