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Finding the Fourth Proportional to 4,996.68, 7,496.03 and 1,709.90

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Solution

The fourth proportional to 4,996.68, 7,496.03 and 1,709.90 is: 2,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.68 : 7,496.03 = 1,709.90 : x
  2. Step 2: Convert to fraction form
    4,996.68/7,496.03 = 1,709.90/x
  3. Step 3: Cross multiply
    4,996.68x = 7,496.03 × 1,709.90
  4. Step 4: Simplify right side
    4,996.68x = 12,817,461.70
  5. Step 5: Solve for x
    x = 12,817,461.70/4,996.68
  6. Step 6: Final answer
    x = 2,565.20

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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.