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Finding the Fourth Proportional to 5,917.20, 8,832.48 and 5,216.61

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Solution

The fourth proportional to 5,917.20, 8,832.48 and 5,216.61 is: 7,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.20 : 8,832.48 = 5,216.61 : x
  2. Step 2: Convert to fraction form
    5,917.20/8,832.48 = 5,216.61/x
  3. Step 3: Cross multiply
    5,917.20x = 8,832.48 × 5,216.61
  4. Step 4: Simplify right side
    5,917.20x = 46,075,603.49
  5. Step 5: Solve for x
    x = 46,075,603.49/5,917.20
  6. Step 6: Final answer
    x = 7,786.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.