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Finding the Fourth Proportional to 5,193.01, 7,783.76 and 2,451.25

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Solution

The fourth proportional to 5,193.01, 7,783.76 and 2,451.25 is: 3,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.01 : 7,783.76 = 2,451.25 : x
  2. Step 2: Convert to fraction form
    5,193.01/7,783.76 = 2,451.25/x
  3. Step 3: Cross multiply
    5,193.01x = 7,783.76 × 2,451.25
  4. Step 4: Simplify right side
    5,193.01x = 19,079,929.44
  5. Step 5: Solve for x
    x = 19,079,929.44/5,193.01
  6. Step 6: Final answer
    x = 3,674.16

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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.