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Finding the Fourth Proportional to 5,831.48, 8,745.18 and 1,882.60

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Solution

The fourth proportional to 5,831.48, 8,745.18 and 1,882.60 is: 2,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.48 : 8,745.18 = 1,882.60 : x
  2. Step 2: Convert to fraction form
    5,831.48/8,745.18 = 1,882.60/x
  3. Step 3: Cross multiply
    5,831.48x = 8,745.18 × 1,882.60
  4. Step 4: Simplify right side
    5,831.48x = 16,463,675.87
  5. Step 5: Solve for x
    x = 16,463,675.87/5,831.48
  6. Step 6: Final answer
    x = 2,823.24

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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.