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Finding the Fourth Proportional to 5,204.93, 7,807.33 and 1,256.16

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Solution

The fourth proportional to 5,204.93, 7,807.33 and 1,256.16 is: 1,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.93 : 7,807.33 = 1,256.16 : x
  2. Step 2: Convert to fraction form
    5,204.93/7,807.33 = 1,256.16/x
  3. Step 3: Cross multiply
    5,204.93x = 7,807.33 × 1,256.16
  4. Step 4: Simplify right side
    5,204.93x = 9,807,213.56
  5. Step 5: Solve for x
    x = 9,807,213.56/5,204.93
  6. Step 6: Final answer
    x = 1,884.22

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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.