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Finding the Fourth Proportional to 5,678.48, 7,831.85 and 3,887.03

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Solution

The fourth proportional to 5,678.48, 7,831.85 and 3,887.03 is: 5,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.48 : 7,831.85 = 3,887.03 : x
  2. Step 2: Convert to fraction form
    5,678.48/7,831.85 = 3,887.03/x
  3. Step 3: Cross multiply
    5,678.48x = 7,831.85 × 3,887.03
  4. Step 4: Simplify right side
    5,678.48x = 30,442,577.31
  5. Step 5: Solve for x
    x = 30,442,577.31/5,678.48
  6. Step 6: Final answer
    x = 5,361.05

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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.