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Finding the Fourth Proportional to 3,657.32, 5,482.02 and 1,464.92

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Solution

The fourth proportional to 3,657.32, 5,482.02 and 1,464.92 is: 2,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.32 : 5,482.02 = 1,464.92 : x
  2. Step 2: Convert to fraction form
    3,657.32/5,482.02 = 1,464.92/x
  3. Step 3: Cross multiply
    3,657.32x = 5,482.02 × 1,464.92
  4. Step 4: Simplify right side
    3,657.32x = 8,030,720.74
  5. Step 5: Solve for x
    x = 8,030,720.74/3,657.32
  6. Step 6: Final answer
    x = 2,195.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.