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Finding the Fourth Proportional to 3,559.42, 5,340.98 and 1,828.04

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Solution

The fourth proportional to 3,559.42, 5,340.98 and 1,828.04 is: 2,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.42 : 5,340.98 = 1,828.04 : x
  2. Step 2: Convert to fraction form
    3,559.42/5,340.98 = 1,828.04/x
  3. Step 3: Cross multiply
    3,559.42x = 5,340.98 × 1,828.04
  4. Step 4: Simplify right side
    3,559.42x = 9,763,525.08
  5. Step 5: Solve for x
    x = 9,763,525.08/3,559.42
  6. Step 6: Final answer
    x = 2,743.01

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1.5x scale

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.