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Finding the Fourth Proportional to 3,655.67, 5,482.96 and 1,346.63

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Solution

The fourth proportional to 3,655.67, 5,482.96 and 1,346.63 is: 2,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.67 : 5,482.96 = 1,346.63 : x
  2. Step 2: Convert to fraction form
    3,655.67/5,482.96 = 1,346.63/x
  3. Step 3: Cross multiply
    3,655.67x = 5,482.96 × 1,346.63
  4. Step 4: Simplify right side
    3,655.67x = 7,383,518.42
  5. Step 5: Solve for x
    x = 7,383,518.42/3,655.67
  6. Step 6: Final answer
    x = 2,019.74

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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.