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Finding the Fourth Proportional to 3,509.70, 4,843.09 and 2,164.93

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Solution

The fourth proportional to 3,509.70, 4,843.09 and 2,164.93 is: 2,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.70 : 4,843.09 = 2,164.93 : x
  2. Step 2: Convert to fraction form
    3,509.70/4,843.09 = 2,164.93/x
  3. Step 3: Cross multiply
    3,509.70x = 4,843.09 × 2,164.93
  4. Step 4: Simplify right side
    3,509.70x = 10,484,941.43
  5. Step 5: Solve for x
    x = 10,484,941.43/3,509.70
  6. Step 6: Final answer
    x = 2,987.42

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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.