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Finding the Fourth Proportional to 5,219.20, 7,202 and 2,981.60

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Solution

The fourth proportional to 5,219.20, 7,202 and 2,981.60 is: 4,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.20 : 7,202 = 2,981.60 : x
  2. Step 2: Convert to fraction form
    5,219.20/7,202 = 2,981.60/x
  3. Step 3: Cross multiply
    5,219.20x = 7,202 × 2,981.60
  4. Step 4: Simplify right side
    5,219.20x = 21,473,483.20
  5. Step 5: Solve for x
    x = 21,473,483.20/5,219.20
  6. Step 6: Final answer
    x = 4,114.32

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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.