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Finding the Fourth Proportional to 4,968, 7,454.04 and 2,193.20

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Solution

The fourth proportional to 4,968, 7,454.04 and 2,193.20 is: 3,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 7,454.04 = 2,193.20 : x
  2. Step 2: Convert to fraction form
    4,968/7,454.04 = 2,193.20/x
  3. Step 3: Cross multiply
    4,968x = 7,454.04 × 2,193.20
  4. Step 4: Simplify right side
    4,968x = 16,348,200.53
  5. Step 5: Solve for x
    x = 16,348,200.53/4,968
  6. Step 6: Final answer
    x = 3,290.70

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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.