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Finding the Fourth Proportional to 5,968, 8,236 and 3,484.16

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Solution

The fourth proportional to 5,968, 8,236 and 3,484.16 is: 4,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968 : 8,236 = 3,484.16 : x
  2. Step 2: Convert to fraction form
    5,968/8,236 = 3,484.16/x
  3. Step 3: Cross multiply
    5,968x = 8,236 × 3,484.16
  4. Step 4: Simplify right side
    5,968x = 28,695,541.76
  5. Step 5: Solve for x
    x = 28,695,541.76/5,968
  6. Step 6: Final answer
    x = 4,808.23

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Why These Related Problems?

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