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Finding the Fourth Proportional to 3,657.83, 5,485.05 and 1,060.16

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Solution

The fourth proportional to 3,657.83, 5,485.05 and 1,060.16 is: 1,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.83 : 5,485.05 = 1,060.16 : x
  2. Step 2: Convert to fraction form
    3,657.83/5,485.05 = 1,060.16/x
  3. Step 3: Cross multiply
    3,657.83x = 5,485.05 × 1,060.16
  4. Step 4: Simplify right side
    3,657.83x = 5,815,003.18
  5. Step 5: Solve for x
    x = 5,815,003.18/3,657.83
  6. Step 6: Final answer
    x = 1,589.74

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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.