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Finding the Fourth Proportional to 5,667.33, 7,828.35 and 3,895.86

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Solution

The fourth proportional to 5,667.33, 7,828.35 and 3,895.86 is: 5,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.33 : 7,828.35 = 3,895.86 : x
  2. Step 2: Convert to fraction form
    5,667.33/7,828.35 = 3,895.86/x
  3. Step 3: Cross multiply
    5,667.33x = 7,828.35 × 3,895.86
  4. Step 4: Simplify right side
    5,667.33x = 30,498,155.63
  5. Step 5: Solve for x
    x = 30,498,155.63/5,667.33
  6. Step 6: Final answer
    x = 5,381.40

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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.