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Finding the Fourth Proportional to 5,842.80, 8,803.26 and 5,288.22

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Solution

The fourth proportional to 5,842.80, 8,803.26 and 5,288.22 is: 7,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.80 : 8,803.26 = 5,288.22 : x
  2. Step 2: Convert to fraction form
    5,842.80/8,803.26 = 5,288.22/x
  3. Step 3: Cross multiply
    5,842.80x = 8,803.26 × 5,288.22
  4. Step 4: Simplify right side
    5,842.80x = 46,553,575.60
  5. Step 5: Solve for x
    x = 46,553,575.60/5,842.80
  6. Step 6: Final answer
    x = 7,967.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.