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Finding the Fourth Proportional to 3,541.77, 5,311.22 and 1,460.70

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Solution

The fourth proportional to 3,541.77, 5,311.22 and 1,460.70 is: 2,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.77 : 5,311.22 = 1,460.70 : x
  2. Step 2: Convert to fraction form
    3,541.77/5,311.22 = 1,460.70/x
  3. Step 3: Cross multiply
    3,541.77x = 5,311.22 × 1,460.70
  4. Step 4: Simplify right side
    3,541.77x = 7,758,091.75
  5. Step 5: Solve for x
    x = 7,758,091.75/3,541.77
  6. Step 6: Final answer
    x = 2,190.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.