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Finding the Fourth Proportional to 4,446.86, 6,137.02 and 2,457.70

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Solution

The fourth proportional to 4,446.86, 6,137.02 and 2,457.70 is: 3,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.86 : 6,137.02 = 2,457.70 : x
  2. Step 2: Convert to fraction form
    4,446.86/6,137.02 = 2,457.70/x
  3. Step 3: Cross multiply
    4,446.86x = 6,137.02 × 2,457.70
  4. Step 4: Simplify right side
    4,446.86x = 15,082,954.05
  5. Step 5: Solve for x
    x = 15,082,954.05/4,446.86
  6. Step 6: Final answer
    x = 3,391.82

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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.