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Finding the Fourth Proportional to 4,984, 7,476.96 and 2,248

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Solution

The fourth proportional to 4,984, 7,476.96 and 2,248 is: 3,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984 : 7,476.96 = 2,248 : x
  2. Step 2: Convert to fraction form
    4,984/7,476.96 = 2,248/x
  3. Step 3: Cross multiply
    4,984x = 7,476.96 × 2,248
  4. Step 4: Simplify right side
    4,984x = 16,808,206.08
  5. Step 5: Solve for x
    x = 16,808,206.08/4,984
  6. Step 6: Final answer
    x = 3,372.43

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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.