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Finding the Fourth Proportional to 5,642.20, 7,781.10 and 4,845.28

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Solution

The fourth proportional to 5,642.20, 7,781.10 and 4,845.28 is: 6,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.20 : 7,781.10 = 4,845.28 : x
  2. Step 2: Convert to fraction form
    5,642.20/7,781.10 = 4,845.28/x
  3. Step 3: Cross multiply
    5,642.20x = 7,781.10 × 4,845.28
  4. Step 4: Simplify right side
    5,642.20x = 37,701,608.21
  5. Step 5: Solve for x
    x = 37,701,608.21/5,642.20
  6. Step 6: Final answer
    x = 6,682.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.