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Finding the Fourth Proportional to 4,605.57, 6,904.19 and 1,833.89

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Solution

The fourth proportional to 4,605.57, 6,904.19 and 1,833.89 is: 2,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.57 : 6,904.19 = 1,833.89 : x
  2. Step 2: Convert to fraction form
    4,605.57/6,904.19 = 1,833.89/x
  3. Step 3: Cross multiply
    4,605.57x = 6,904.19 × 1,833.89
  4. Step 4: Simplify right side
    4,605.57x = 12,661,481.31
  5. Step 5: Solve for x
    x = 12,661,481.31/4,605.57
  6. Step 6: Final answer
    x = 2,749.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.