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Finding the Fourth Proportional to 3,585.00, 5,365.98 and 1,914.95

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Solution

The fourth proportional to 3,585.00, 5,365.98 and 1,914.95 is: 2,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.00 : 5,365.98 = 1,914.95 : x
  2. Step 2: Convert to fraction form
    3,585.00/5,365.98 = 1,914.95/x
  3. Step 3: Cross multiply
    3,585.00x = 5,365.98 × 1,914.95
  4. Step 4: Simplify right side
    3,585.00x = 10,275,579.72
  5. Step 5: Solve for x
    x = 10,275,579.72/3,585.00
  6. Step 6: Final answer
    x = 2,866.27

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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.