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Finding the Fourth Proportional to 5,355.86, 8,031.63 and 1,657.22

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Solution

The fourth proportional to 5,355.86, 8,031.63 and 1,657.22 is: 2,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.86 : 8,031.63 = 1,657.22 : x
  2. Step 2: Convert to fraction form
    5,355.86/8,031.63 = 1,657.22/x
  3. Step 3: Cross multiply
    5,355.86x = 8,031.63 × 1,657.22
  4. Step 4: Simplify right side
    5,355.86x = 13,310,177.87
  5. Step 5: Solve for x
    x = 13,310,177.87/5,355.86
  6. Step 6: Final answer
    x = 2,485.16

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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.