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Finding the Fourth Proportional to 3,904.47, 5,853.47 and 1,823.38

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Solution

The fourth proportional to 3,904.47, 5,853.47 and 1,823.38 is: 2,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.47 : 5,853.47 = 1,823.38 : x
  2. Step 2: Convert to fraction form
    3,904.47/5,853.47 = 1,823.38/x
  3. Step 3: Cross multiply
    3,904.47x = 5,853.47 × 1,823.38
  4. Step 4: Simplify right side
    3,904.47x = 10,673,076.38
  5. Step 5: Solve for x
    x = 10,673,076.38/3,904.47
  6. Step 6: Final answer
    x = 2,733.55

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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.