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Finding the Fourth Proportional to 4,667.05, 6,440.68 and 2,678.00

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Solution

The fourth proportional to 4,667.05, 6,440.68 and 2,678.00 is: 3,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.05 : 6,440.68 = 2,678.00 : x
  2. Step 2: Convert to fraction form
    4,667.05/6,440.68 = 2,678.00/x
  3. Step 3: Cross multiply
    4,667.05x = 6,440.68 × 2,678.00
  4. Step 4: Simplify right side
    4,667.05x = 17,248,112.18
  5. Step 5: Solve for x
    x = 17,248,112.18/4,667.05
  6. Step 6: Final answer
    x = 3,695.72

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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.