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Finding the Fourth Proportional to 5,946.47, 8,213.01 and 3,953.57

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Solution

The fourth proportional to 5,946.47, 8,213.01 and 3,953.57 is: 5,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.47 : 8,213.01 = 3,953.57 : x
  2. Step 2: Convert to fraction form
    5,946.47/8,213.01 = 3,953.57/x
  3. Step 3: Cross multiply
    5,946.47x = 8,213.01 × 3,953.57
  4. Step 4: Simplify right side
    5,946.47x = 32,470,709.95
  5. Step 5: Solve for x
    x = 32,470,709.95/5,946.47
  6. Step 6: Final answer
    x = 5,460.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.