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Finding the Fourth Proportional to 5,405.52, 8,105.04 and 1,706.16

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Solution

The fourth proportional to 5,405.52, 8,105.04 and 1,706.16 is: 2,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.52 : 8,105.04 = 1,706.16 : x
  2. Step 2: Convert to fraction form
    5,405.52/8,105.04 = 1,706.16/x
  3. Step 3: Cross multiply
    5,405.52x = 8,105.04 × 1,706.16
  4. Step 4: Simplify right side
    5,405.52x = 13,828,495.05
  5. Step 5: Solve for x
    x = 13,828,495.05/5,405.52
  6. Step 6: Final answer
    x = 2,558.22

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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.