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Finding the Fourth Proportional to 5,887.36, 8,827.92 and 5,222.08

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Solution

The fourth proportional to 5,887.36, 8,827.92 and 5,222.08 is: 7,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.36 : 8,827.92 = 5,222.08 : x
  2. Step 2: Convert to fraction form
    5,887.36/8,827.92 = 5,222.08/x
  3. Step 3: Cross multiply
    5,887.36x = 8,827.92 × 5,222.08
  4. Step 4: Simplify right side
    5,887.36x = 46,100,104.47
  5. Step 5: Solve for x
    x = 46,100,104.47/5,887.36
  6. Step 6: Final answer
    x = 7,830.35

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