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Finding the Fourth Proportional to 3,875, 5,815.06 and 1,823.16

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Solution

The fourth proportional to 3,875, 5,815.06 and 1,823.16 is: 2,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875 : 5,815.06 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    3,875/5,815.06 = 1,823.16/x
  3. Step 3: Cross multiply
    3,875x = 5,815.06 × 1,823.16
  4. Step 4: Simplify right side
    3,875x = 10,601,784.79
  5. Step 5: Solve for x
    x = 10,601,784.79/3,875
  6. Step 6: Final answer
    x = 2,735.94

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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.