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Finding the Fourth Proportional to 4,657.56, 6,986.33 and 1,194.81

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Solution

The fourth proportional to 4,657.56, 6,986.33 and 1,194.81 is: 1,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.56 : 6,986.33 = 1,194.81 : x
  2. Step 2: Convert to fraction form
    4,657.56/6,986.33 = 1,194.81/x
  3. Step 3: Cross multiply
    4,657.56x = 6,986.33 × 1,194.81
  4. Step 4: Simplify right side
    4,657.56x = 8,347,302.02
  5. Step 5: Solve for x
    x = 8,347,302.02/4,657.56
  6. Step 6: Final answer
    x = 1,792.21

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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.