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Finding the Fourth Proportional to 5,000.02, 6,899.97 and 3,428.62

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Solution

The fourth proportional to 5,000.02, 6,899.97 and 3,428.62 is: 4,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.02 : 6,899.97 = 3,428.62 : x
  2. Step 2: Convert to fraction form
    5,000.02/6,899.97 = 3,428.62/x
  3. Step 3: Cross multiply
    5,000.02x = 6,899.97 × 3,428.62
  4. Step 4: Simplify right side
    5,000.02x = 23,657,375.14
  5. Step 5: Solve for x
    x = 23,657,375.14/5,000.02
  6. Step 6: Final answer
    x = 4,731.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.