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Finding the Fourth Proportional to 4,667.34, 6,440.90 and 2,542.86

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Solution

The fourth proportional to 4,667.34, 6,440.90 and 2,542.86 is: 3,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.34 : 6,440.90 = 2,542.86 : x
  2. Step 2: Convert to fraction form
    4,667.34/6,440.90 = 2,542.86/x
  3. Step 3: Cross multiply
    4,667.34x = 6,440.90 × 2,542.86
  4. Step 4: Simplify right side
    4,667.34x = 16,378,337.48
  5. Step 5: Solve for x
    x = 16,378,337.48/4,667.34
  6. Step 6: Final answer
    x = 3,509.14

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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.