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Finding the Fourth Proportional to 5,706.79, 8,559.51 and 1,546.54

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Solution

The fourth proportional to 5,706.79, 8,559.51 and 1,546.54 is: 2,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.79 : 8,559.51 = 1,546.54 : x
  2. Step 2: Convert to fraction form
    5,706.79/8,559.51 = 1,546.54/x
  3. Step 3: Cross multiply
    5,706.79x = 8,559.51 × 1,546.54
  4. Step 4: Simplify right side
    5,706.79x = 13,237,616.86
  5. Step 5: Solve for x
    x = 13,237,616.86/5,706.79
  6. Step 6: Final answer
    x = 2,319.63

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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.