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Finding the Fourth Proportional to 4,855.88, 7,284.83 and 1,569.30

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Solution

The fourth proportional to 4,855.88, 7,284.83 and 1,569.30 is: 2,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.88 : 7,284.83 = 1,569.30 : x
  2. Step 2: Convert to fraction form
    4,855.88/7,284.83 = 1,569.30/x
  3. Step 3: Cross multiply
    4,855.88x = 7,284.83 × 1,569.30
  4. Step 4: Simplify right side
    4,855.88x = 11,432,075.87
  5. Step 5: Solve for x
    x = 11,432,075.87/4,855.88
  6. Step 6: Final answer
    x = 2,354.28

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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.