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Finding the Fourth Proportional to 4,956.24, 7,435.08 and 1,493.76

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Solution

The fourth proportional to 4,956.24, 7,435.08 and 1,493.76 is: 2,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.24 : 7,435.08 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    4,956.24/7,435.08 = 1,493.76/x
  3. Step 3: Cross multiply
    4,956.24x = 7,435.08 × 1,493.76
  4. Step 4: Simplify right side
    4,956.24x = 11,106,225.10
  5. Step 5: Solve for x
    x = 11,106,225.10/4,956.24
  6. Step 6: Final answer
    x = 2,240.86

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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.