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Finding the Fourth Proportional to 3,657.16, 5,485.42 and 1,059.72

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Solution

The fourth proportional to 3,657.16, 5,485.42 and 1,059.72 is: 1,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.16 : 5,485.42 = 1,059.72 : x
  2. Step 2: Convert to fraction form
    3,657.16/5,485.42 = 1,059.72/x
  3. Step 3: Cross multiply
    3,657.16x = 5,485.42 × 1,059.72
  4. Step 4: Simplify right side
    3,657.16x = 5,813,009.28
  5. Step 5: Solve for x
    x = 5,813,009.28/3,657.16
  6. Step 6: Final answer
    x = 1,589.49

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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.