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Finding the Fourth Proportional to 3,580.99, 4,941.74 and 2,009.08

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Solution

The fourth proportional to 3,580.99, 4,941.74 and 2,009.08 is: 2,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.99 : 4,941.74 = 2,009.08 : x
  2. Step 2: Convert to fraction form
    3,580.99/4,941.74 = 2,009.08/x
  3. Step 3: Cross multiply
    3,580.99x = 4,941.74 × 2,009.08
  4. Step 4: Simplify right side
    3,580.99x = 9,928,340.95
  5. Step 5: Solve for x
    x = 9,928,340.95/3,580.99
  6. Step 6: Final answer
    x = 2,772.52

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1.5x scale

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.