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Finding the Fourth Proportional to 4,615.77, 6,923.58 and 3,131.30

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Solution

The fourth proportional to 4,615.77, 6,923.58 and 3,131.30 is: 4,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.77 : 6,923.58 = 3,131.30 : x
  2. Step 2: Convert to fraction form
    4,615.77/6,923.58 = 3,131.30/x
  3. Step 3: Cross multiply
    4,615.77x = 6,923.58 × 3,131.30
  4. Step 4: Simplify right side
    4,615.77x = 21,679,801.14
  5. Step 5: Solve for x
    x = 21,679,801.14/4,615.77
  6. Step 6: Final answer
    x = 4,696.90

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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.