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Finding the Fourth Proportional to 4,991.76, 7,487.64 and 2,070

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Solution

The fourth proportional to 4,991.76, 7,487.64 and 2,070 is: 3,105

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.76 : 7,487.64 = 2,070 : x
  2. Step 2: Convert to fraction form
    4,991.76/7,487.64 = 2,070/x
  3. Step 3: Cross multiply
    4,991.76x = 7,487.64 × 2,070
  4. Step 4: Simplify right side
    4,991.76x = 15,499,414.80
  5. Step 5: Solve for x
    x = 15,499,414.80/4,991.76
  6. Step 6: Final answer
    x = 3,105

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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.