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Finding the Fourth Proportional to 5,355.72, 8,033.96 and 1,657.47

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Solution

The fourth proportional to 5,355.72, 8,033.96 and 1,657.47 is: 2,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.72 : 8,033.96 = 1,657.47 : x
  2. Step 2: Convert to fraction form
    5,355.72/8,033.96 = 1,657.47/x
  3. Step 3: Cross multiply
    5,355.72x = 8,033.96 × 1,657.47
  4. Step 4: Simplify right side
    5,355.72x = 13,316,042.50
  5. Step 5: Solve for x
    x = 13,316,042.50/5,355.72
  6. Step 6: Final answer
    x = 2,486.32

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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.