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Finding the Fourth Proportional to 4,557.69, 6,833.54 and 1,784.67

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Solution

The fourth proportional to 4,557.69, 6,833.54 and 1,784.67 is: 2,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.69 : 6,833.54 = 1,784.67 : x
  2. Step 2: Convert to fraction form
    4,557.69/6,833.54 = 1,784.67/x
  3. Step 3: Cross multiply
    4,557.69x = 6,833.54 × 1,784.67
  4. Step 4: Simplify right side
    4,557.69x = 12,195,604.91
  5. Step 5: Solve for x
    x = 12,195,604.91/4,557.69
  6. Step 6: Final answer
    x = 2,675.83

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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.