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Finding the Fourth Proportional to 5,706.41, 8,558.94 and 1,546.16

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Solution

The fourth proportional to 5,706.41, 8,558.94 and 1,546.16 is: 2,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.41 : 8,558.94 = 1,546.16 : x
  2. Step 2: Convert to fraction form
    5,706.41/8,558.94 = 1,546.16/x
  3. Step 3: Cross multiply
    5,706.41x = 8,558.94 × 1,546.16
  4. Step 4: Simplify right side
    5,706.41x = 13,233,512.07
  5. Step 5: Solve for x
    x = 13,233,512.07/5,706.41
  6. Step 6: Final answer
    x = 2,319.06

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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.