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Finding the Fourth Proportional to 3,259.01, 4,888.47 and 793.84

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Solution

The fourth proportional to 3,259.01, 4,888.47 and 793.84 is: 1,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.01 : 4,888.47 = 793.84 : x
  2. Step 2: Convert to fraction form
    3,259.01/4,888.47 = 793.84/x
  3. Step 3: Cross multiply
    3,259.01x = 4,888.47 × 793.84
  4. Step 4: Simplify right side
    3,259.01x = 3,880,638.58
  5. Step 5: Solve for x
    x = 3,880,638.58/3,259.01
  6. Step 6: Final answer
    x = 1,190.74

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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.