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Finding the Fourth Proportional to 5,683.62, 8,525.52 and 1,734.96

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Solution

The fourth proportional to 5,683.62, 8,525.52 and 1,734.96 is: 2,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.62 : 8,525.52 = 1,734.96 : x
  2. Step 2: Convert to fraction form
    5,683.62/8,525.52 = 1,734.96/x
  3. Step 3: Cross multiply
    5,683.62x = 8,525.52 × 1,734.96
  4. Step 4: Simplify right side
    5,683.62x = 14,791,436.18
  5. Step 5: Solve for x
    x = 14,791,436.18/5,683.62
  6. Step 6: Final answer
    x = 2,602.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.