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Finding the Fourth Proportional to 3,175.89, 4,762.72 and 954.06

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Solution

The fourth proportional to 3,175.89, 4,762.72 and 954.06 is: 1,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.89 : 4,762.72 = 954.06 : x
  2. Step 2: Convert to fraction form
    3,175.89/4,762.72 = 954.06/x
  3. Step 3: Cross multiply
    3,175.89x = 4,762.72 × 954.06
  4. Step 4: Simplify right side
    3,175.89x = 4,543,920.64
  5. Step 5: Solve for x
    x = 4,543,920.64/3,175.89
  6. Step 6: Final answer
    x = 1,430.76

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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.