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Finding the Fourth Proportional to 3,491.64, 5,230.56 and 2,663.76

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Solution

The fourth proportional to 3,491.64, 5,230.56 and 2,663.76 is: 3,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.64 : 5,230.56 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    3,491.64/5,230.56 = 2,663.76/x
  3. Step 3: Cross multiply
    3,491.64x = 5,230.56 × 2,663.76
  4. Step 4: Simplify right side
    3,491.64x = 13,932,956.51
  5. Step 5: Solve for x
    x = 13,932,956.51/3,491.64
  6. Step 6: Final answer
    x = 3,990.38

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1.5x scale

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.