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Finding the Fourth Proportional to 5,725.57, 7,898.97 and 3,485.65

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Solution

The fourth proportional to 5,725.57, 7,898.97 and 3,485.65 is: 4,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.57 : 7,898.97 = 3,485.65 : x
  2. Step 2: Convert to fraction form
    5,725.57/7,898.97 = 3,485.65/x
  3. Step 3: Cross multiply
    5,725.57x = 7,898.97 × 3,485.65
  4. Step 4: Simplify right side
    5,725.57x = 27,533,044.78
  5. Step 5: Solve for x
    x = 27,533,044.78/5,725.57
  6. Step 6: Final answer
    x = 4,808.79

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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.