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Finding the Fourth Proportional to 3,698.64, 5,543.16 and 1,504.82

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Solution

The fourth proportional to 3,698.64, 5,543.16 and 1,504.82 is: 2,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,543.16 = 1,504.82 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,543.16 = 1,504.82/x
  3. Step 3: Cross multiply
    3,698.64x = 5,543.16 × 1,504.82
  4. Step 4: Simplify right side
    3,698.64x = 8,341,458.03
  5. Step 5: Solve for x
    x = 8,341,458.03/3,698.64
  6. Step 6: Final answer
    x = 2,255.28

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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.