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Finding the Fourth Proportional to 3,772.64, 5,659.32 and 1,464.08

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Solution

The fourth proportional to 3,772.64, 5,659.32 and 1,464.08 is: 2,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.64 : 5,659.32 = 1,464.08 : x
  2. Step 2: Convert to fraction form
    3,772.64/5,659.32 = 1,464.08/x
  3. Step 3: Cross multiply
    3,772.64x = 5,659.32 × 1,464.08
  4. Step 4: Simplify right side
    3,772.64x = 8,285,697.23
  5. Step 5: Solve for x
    x = 8,285,697.23/3,772.64
  6. Step 6: Final answer
    x = 2,196.26

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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.