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Finding the Fourth Proportional to 3,855.19, 5,784.57 and 1,223.11

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Solution

The fourth proportional to 3,855.19, 5,784.57 and 1,223.11 is: 1,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.19 : 5,784.57 = 1,223.11 : x
  2. Step 2: Convert to fraction form
    3,855.19/5,784.57 = 1,223.11/x
  3. Step 3: Cross multiply
    3,855.19x = 5,784.57 × 1,223.11
  4. Step 4: Simplify right side
    3,855.19x = 7,075,136.49
  5. Step 5: Solve for x
    x = 7,075,136.49/3,855.19
  6. Step 6: Final answer
    x = 1,835.23

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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.