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Finding the Fourth Proportional to 3,500.02, 5,250.02 and 902.76

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Solution

The fourth proportional to 3,500.02, 5,250.02 and 902.76 is: 1,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.02 : 5,250.02 = 902.76 : x
  2. Step 2: Convert to fraction form
    3,500.02/5,250.02 = 902.76/x
  3. Step 3: Cross multiply
    3,500.02x = 5,250.02 × 902.76
  4. Step 4: Simplify right side
    3,500.02x = 4,739,508.06
  5. Step 5: Solve for x
    x = 4,739,508.06/3,500.02
  6. Step 6: Final answer
    x = 1,354.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.