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Finding the Fourth Proportional to 3,483.90, 5,219.76 and 2,902.64

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Solution

The fourth proportional to 3,483.90, 5,219.76 and 2,902.64 is: 4,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.90 : 5,219.76 = 2,902.64 : x
  2. Step 2: Convert to fraction form
    3,483.90/5,219.76 = 2,902.64/x
  3. Step 3: Cross multiply
    3,483.90x = 5,219.76 × 2,902.64
  4. Step 4: Simplify right side
    3,483.90x = 15,151,058.07
  5. Step 5: Solve for x
    x = 15,151,058.07/3,483.90
  6. Step 6: Final answer
    x = 4,348.88

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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.