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Finding the Fourth Proportional to 3,175.21, 4,762.61 and 983.75

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Solution

The fourth proportional to 3,175.21, 4,762.61 and 983.75 is: 1,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.21 : 4,762.61 = 983.75 : x
  2. Step 2: Convert to fraction form
    3,175.21/4,762.61 = 983.75/x
  3. Step 3: Cross multiply
    3,175.21x = 4,762.61 × 983.75
  4. Step 4: Simplify right side
    3,175.21x = 4,685,212.67
  5. Step 5: Solve for x
    x = 4,685,212.67/3,175.21
  6. Step 6: Final answer
    x = 1,475.56

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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.