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Finding the Fourth Proportional to 4,314.57, 6,471.72 and 1,194.76

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Solution

The fourth proportional to 4,314.57, 6,471.72 and 1,194.76 is: 1,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.57 : 6,471.72 = 1,194.76 : x
  2. Step 2: Convert to fraction form
    4,314.57/6,471.72 = 1,194.76/x
  3. Step 3: Cross multiply
    4,314.57x = 6,471.72 × 1,194.76
  4. Step 4: Simplify right side
    4,314.57x = 7,732,152.19
  5. Step 5: Solve for x
    x = 7,732,152.19/4,314.57
  6. Step 6: Final answer
    x = 1,792.10

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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.