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Finding the Fourth Proportional to 3,698.53, 5,102.65 and 2,185.77

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Solution

The fourth proportional to 3,698.53, 5,102.65 and 2,185.77 is: 3,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.53 : 5,102.65 = 2,185.77 : x
  2. Step 2: Convert to fraction form
    3,698.53/5,102.65 = 2,185.77/x
  3. Step 3: Cross multiply
    3,698.53x = 5,102.65 × 2,185.77
  4. Step 4: Simplify right side
    3,698.53x = 11,153,200.16
  5. Step 5: Solve for x
    x = 11,153,200.16/3,698.53
  6. Step 6: Final answer
    x = 3,015.58

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