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Finding the Fourth Proportional to 3,653.90, 5,482.20 and 1,464.20

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Solution

The fourth proportional to 3,653.90, 5,482.20 and 1,464.20 is: 2,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.90 : 5,482.20 = 1,464.20 : x
  2. Step 2: Convert to fraction form
    3,653.90/5,482.20 = 1,464.20/x
  3. Step 3: Cross multiply
    3,653.90x = 5,482.20 × 1,464.20
  4. Step 4: Simplify right side
    3,653.90x = 8,027,037.24
  5. Step 5: Solve for x
    x = 8,027,037.24/3,653.90
  6. Step 6: Final answer
    x = 2,196.84

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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.