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Finding the Fourth Proportional to 3,866.64, 5,794.84 and 1,810.32

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Solution

The fourth proportional to 3,866.64, 5,794.84 and 1,810.32 is: 2,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.64 : 5,794.84 = 1,810.32 : x
  2. Step 2: Convert to fraction form
    3,866.64/5,794.84 = 1,810.32/x
  3. Step 3: Cross multiply
    3,866.64x = 5,794.84 × 1,810.32
  4. Step 4: Simplify right side
    3,866.64x = 10,490,514.75
  5. Step 5: Solve for x
    x = 10,490,514.75/3,866.64
  6. Step 6: Final answer
    x = 2,713.08

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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.