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Finding the Fourth Proportional to 3,653.14, 5,482.13 and 1,344.64

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Solution

The fourth proportional to 3,653.14, 5,482.13 and 1,344.64 is: 2,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.14 : 5,482.13 = 1,344.64 : x
  2. Step 2: Convert to fraction form
    3,653.14/5,482.13 = 1,344.64/x
  3. Step 3: Cross multiply
    3,653.14x = 5,482.13 × 1,344.64
  4. Step 4: Simplify right side
    3,653.14x = 7,371,468.14
  5. Step 5: Solve for x
    x = 7,371,468.14/3,653.14
  6. Step 6: Final answer
    x = 2,017.85

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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.