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Finding the Fourth Proportional to 5,937.86, 8,904.74 and 2,649.16

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Solution

The fourth proportional to 5,937.86, 8,904.74 and 2,649.16 is: 3,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.86 : 8,904.74 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    5,937.86/8,904.74 = 2,649.16/x
  3. Step 3: Cross multiply
    5,937.86x = 8,904.74 × 2,649.16
  4. Step 4: Simplify right side
    5,937.86x = 23,590,028.81
  5. Step 5: Solve for x
    x = 23,590,028.81/5,937.86
  6. Step 6: Final answer
    x = 3,972.82

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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.