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Finding the Fourth Proportional to 4,697.28, 7,039.70 and 2,501.28

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Solution

The fourth proportional to 4,697.28, 7,039.70 and 2,501.28 is: 3,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.28 : 7,039.70 = 2,501.28 : x
  2. Step 2: Convert to fraction form
    4,697.28/7,039.70 = 2,501.28/x
  3. Step 3: Cross multiply
    4,697.28x = 7,039.70 × 2,501.28
  4. Step 4: Simplify right side
    4,697.28x = 17,608,260.82
  5. Step 5: Solve for x
    x = 17,608,260.82/4,697.28
  6. Step 6: Final answer
    x = 3,748.61

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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.