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Finding the Fourth Proportional to 4,688.70, 7,027.56 and 2,607.70

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Solution

The fourth proportional to 4,688.70, 7,027.56 and 2,607.70 is: 3,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.70 : 7,027.56 = 2,607.70 : x
  2. Step 2: Convert to fraction form
    4,688.70/7,027.56 = 2,607.70/x
  3. Step 3: Cross multiply
    4,688.70x = 7,027.56 × 2,607.70
  4. Step 4: Simplify right side
    4,688.70x = 18,325,768.21
  5. Step 5: Solve for x
    x = 18,325,768.21/4,688.70
  6. Step 6: Final answer
    x = 3,908.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.