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Finding the Fourth Proportional to 5,443.64, 7,512.85 and 3,678.86

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Solution

The fourth proportional to 5,443.64, 7,512.85 and 3,678.86 is: 5,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.64 : 7,512.85 = 3,678.86 : x
  2. Step 2: Convert to fraction form
    5,443.64/7,512.85 = 3,678.86/x
  3. Step 3: Cross multiply
    5,443.64x = 7,512.85 × 3,678.86
  4. Step 4: Simplify right side
    5,443.64x = 27,638,667.39
  5. Step 5: Solve for x
    x = 27,638,667.39/5,443.64
  6. Step 6: Final answer
    x = 5,077.24

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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.