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Finding the Fourth Proportional to 3,256.29, 4,883.90 and 947.25

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Solution

The fourth proportional to 3,256.29, 4,883.90 and 947.25 is: 1,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.29 : 4,883.90 = 947.25 : x
  2. Step 2: Convert to fraction form
    3,256.29/4,883.90 = 947.25/x
  3. Step 3: Cross multiply
    3,256.29x = 4,883.90 × 947.25
  4. Step 4: Simplify right side
    3,256.29x = 4,626,269.54
  5. Step 5: Solve for x
    x = 4,626,269.54/3,256.29
  6. Step 6: Final answer
    x = 1,420.72

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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.