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Finding the Fourth Proportional to 3,695.64, 5,104.38 and 2,699.32

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Solution

The fourth proportional to 3,695.64, 5,104.38 and 2,699.32 is: 3,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.64 : 5,104.38 = 2,699.32 : x
  2. Step 2: Convert to fraction form
    3,695.64/5,104.38 = 2,699.32/x
  3. Step 3: Cross multiply
    3,695.64x = 5,104.38 × 2,699.32
  4. Step 4: Simplify right side
    3,695.64x = 13,778,355.02
  5. Step 5: Solve for x
    x = 13,778,355.02/3,695.64
  6. Step 6: Final answer
    x = 3,728.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.