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Finding the Fourth Proportional to 5,967.11, 8,946.54 and 2,407.02

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Solution

The fourth proportional to 5,967.11, 8,946.54 and 2,407.02 is: 3,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.11 : 8,946.54 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    5,967.11/8,946.54 = 2,407.02/x
  3. Step 3: Cross multiply
    5,967.11x = 8,946.54 × 2,407.02
  4. Step 4: Simplify right side
    5,967.11x = 21,534,500.71
  5. Step 5: Solve for x
    x = 21,534,500.71/5,967.11
  6. Step 6: Final answer
    x = 3,608.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.