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Finding the Fourth Proportional to 5,356.82, 8,032.59 and 1,657.55

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Solution

The fourth proportional to 5,356.82, 8,032.59 and 1,657.55 is: 2,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.82 : 8,032.59 = 1,657.55 : x
  2. Step 2: Convert to fraction form
    5,356.82/8,032.59 = 1,657.55/x
  3. Step 3: Cross multiply
    5,356.82x = 8,032.59 × 1,657.55
  4. Step 4: Simplify right side
    5,356.82x = 13,314,379.39
  5. Step 5: Solve for x
    x = 13,314,379.39/5,356.82
  6. Step 6: Final answer
    x = 2,485.50

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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.