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Finding the Fourth Proportional to 4,768.60, 7,152.90 and 3,213.40

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Solution

The fourth proportional to 4,768.60, 7,152.90 and 3,213.40 is: 4,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.60 : 7,152.90 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    4,768.60/7,152.90 = 3,213.40/x
  3. Step 3: Cross multiply
    4,768.60x = 7,152.90 × 3,213.40
  4. Step 4: Simplify right side
    4,768.60x = 22,985,128.86
  5. Step 5: Solve for x
    x = 22,985,128.86/4,768.60
  6. Step 6: Final answer
    x = 4,820.10

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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.