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Finding the Fourth Proportional to 3,907.77, 5,857.16 and 2,172.93

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Solution

The fourth proportional to 3,907.77, 5,857.16 and 2,172.93 is: 3,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.77 : 5,857.16 = 2,172.93 : x
  2. Step 2: Convert to fraction form
    3,907.77/5,857.16 = 2,172.93/x
  3. Step 3: Cross multiply
    3,907.77x = 5,857.16 × 2,172.93
  4. Step 4: Simplify right side
    3,907.77x = 12,727,187.81
  5. Step 5: Solve for x
    x = 12,727,187.81/3,907.77
  6. Step 6: Final answer
    x = 3,256.89

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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.