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Finding the Fourth Proportional to 4,667.64, 6,440.06 and 2,678.10

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Solution

The fourth proportional to 4,667.64, 6,440.06 and 2,678.10 is: 3,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.64 : 6,440.06 = 2,678.10 : x
  2. Step 2: Convert to fraction form
    4,667.64/6,440.06 = 2,678.10/x
  3. Step 3: Cross multiply
    4,667.64x = 6,440.06 × 2,678.10
  4. Step 4: Simplify right side
    4,667.64x = 17,247,124.69
  5. Step 5: Solve for x
    x = 17,247,124.69/4,667.64
  6. Step 6: Final answer
    x = 3,695.04

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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.