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Finding the Fourth Proportional to 3,256.13, 4,885.20 and 947.63

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Solution

The fourth proportional to 3,256.13, 4,885.20 and 947.63 is: 1,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.13 : 4,885.20 = 947.63 : x
  2. Step 2: Convert to fraction form
    3,256.13/4,885.20 = 947.63/x
  3. Step 3: Cross multiply
    3,256.13x = 4,885.20 × 947.63
  4. Step 4: Simplify right side
    3,256.13x = 4,629,337.65
  5. Step 5: Solve for x
    x = 4,629,337.65/3,256.13
  6. Step 6: Final answer
    x = 1,421.73

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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.