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Finding the Fourth Proportional to 5,583.72, 8,377.06 and 1,688.24

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Solution

The fourth proportional to 5,583.72, 8,377.06 and 1,688.24 is: 2,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.72 : 8,377.06 = 1,688.24 : x
  2. Step 2: Convert to fraction form
    5,583.72/8,377.06 = 1,688.24/x
  3. Step 3: Cross multiply
    5,583.72x = 8,377.06 × 1,688.24
  4. Step 4: Simplify right side
    5,583.72x = 14,142,487.77
  5. Step 5: Solve for x
    x = 14,142,487.77/5,583.72
  6. Step 6: Final answer
    x = 2,532.81

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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.