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Finding the Fourth Proportional to 4,900.64, 7,351.16 and 2,301.75

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Solution

The fourth proportional to 4,900.64, 7,351.16 and 2,301.75 is: 3,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.64 : 7,351.16 = 2,301.75 : x
  2. Step 2: Convert to fraction form
    4,900.64/7,351.16 = 2,301.75/x
  3. Step 3: Cross multiply
    4,900.64x = 7,351.16 × 2,301.75
  4. Step 4: Simplify right side
    4,900.64x = 16,920,521.02
  5. Step 5: Solve for x
    x = 16,920,521.02/4,900.64
  6. Step 6: Final answer
    x = 3,452.72

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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.