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Finding the Fourth Proportional to 5,845.20, 8,762.88 and 4,805.28

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Solution

The fourth proportional to 5,845.20, 8,762.88 and 4,805.28 is: 7,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.20 : 8,762.88 = 4,805.28 : x
  2. Step 2: Convert to fraction form
    5,845.20/8,762.88 = 4,805.28/x
  3. Step 3: Cross multiply
    5,845.20x = 8,762.88 × 4,805.28
  4. Step 4: Simplify right side
    5,845.20x = 42,108,092.01
  5. Step 5: Solve for x
    x = 42,108,092.01/5,845.20
  6. Step 6: Final answer
    x = 7,203.88

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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.