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Finding the Fourth Proportional to 4,573.67, 6,311.25 and 2,583.83

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Solution

The fourth proportional to 4,573.67, 6,311.25 and 2,583.83 is: 3,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.67 : 6,311.25 = 2,583.83 : x
  2. Step 2: Convert to fraction form
    4,573.67/6,311.25 = 2,583.83/x
  3. Step 3: Cross multiply
    4,573.67x = 6,311.25 × 2,583.83
  4. Step 4: Simplify right side
    4,573.67x = 16,307,212.87
  5. Step 5: Solve for x
    x = 16,307,212.87/4,573.67
  6. Step 6: Final answer
    x = 3,565.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.