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Finding the Fourth Proportional to 3,490.83, 4,815.72 and 2,164.05

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Solution

The fourth proportional to 3,490.83, 4,815.72 and 2,164.05 is: 2,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.83 : 4,815.72 = 2,164.05 : x
  2. Step 2: Convert to fraction form
    3,490.83/4,815.72 = 2,164.05/x
  3. Step 3: Cross multiply
    3,490.83x = 4,815.72 × 2,164.05
  4. Step 4: Simplify right side
    3,490.83x = 10,421,458.87
  5. Step 5: Solve for x
    x = 10,421,458.87/3,490.83
  6. Step 6: Final answer
    x = 2,985.38

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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.