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Finding the Fourth Proportional to 4,662.17, 6,993.93 and 1,541.11

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Solution

The fourth proportional to 4,662.17, 6,993.93 and 1,541.11 is: 2,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.17 : 6,993.93 = 1,541.11 : x
  2. Step 2: Convert to fraction form
    4,662.17/6,993.93 = 1,541.11/x
  3. Step 3: Cross multiply
    4,662.17x = 6,993.93 × 1,541.11
  4. Step 4: Simplify right side
    4,662.17x = 10,778,415.46
  5. Step 5: Solve for x
    x = 10,778,415.46/4,662.17
  6. Step 6: Final answer
    x = 2,311.89

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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.