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Finding the Fourth Proportional to 3,832.64, 5,746.08 and 2,544.32

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Solution

The fourth proportional to 3,832.64, 5,746.08 and 2,544.32 is: 3,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.64 : 5,746.08 = 2,544.32 : x
  2. Step 2: Convert to fraction form
    3,832.64/5,746.08 = 2,544.32/x
  3. Step 3: Cross multiply
    3,832.64x = 5,746.08 × 2,544.32
  4. Step 4: Simplify right side
    3,832.64x = 14,619,866.27
  5. Step 5: Solve for x
    x = 14,619,866.27/3,832.64
  6. Step 6: Final answer
    x = 3,814.57

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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.