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Finding the Fourth Proportional to 3,885.88, 5,831.45 and 1,693.34

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Solution

The fourth proportional to 3,885.88, 5,831.45 and 1,693.34 is: 2,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.88 : 5,831.45 = 1,693.34 : x
  2. Step 2: Convert to fraction form
    3,885.88/5,831.45 = 1,693.34/x
  3. Step 3: Cross multiply
    3,885.88x = 5,831.45 × 1,693.34
  4. Step 4: Simplify right side
    3,885.88x = 9,874,627.54
  5. Step 5: Solve for x
    x = 9,874,627.54/3,885.88
  6. Step 6: Final answer
    x = 2,541.16

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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.