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Finding the Fourth Proportional to 4,970.64, 7,500.38 and 4,768.32

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Solution

The fourth proportional to 4,970.64, 7,500.38 and 4,768.32 is: 7,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.64 : 7,500.38 = 4,768.32 : x
  2. Step 2: Convert to fraction form
    4,970.64/7,500.38 = 4,768.32/x
  3. Step 3: Cross multiply
    4,970.64x = 7,500.38 × 4,768.32
  4. Step 4: Simplify right side
    4,970.64x = 35,764,211.96
  5. Step 5: Solve for x
    x = 35,764,211.96/4,970.64
  6. Step 6: Final answer
    x = 7,195.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.