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Finding the Fourth Proportional to 5,464.64, 7,538.76 and 3,578.24

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Solution

The fourth proportional to 5,464.64, 7,538.76 and 3,578.24 is: 4,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.64 : 7,538.76 = 3,578.24 : x
  2. Step 2: Convert to fraction form
    5,464.64/7,538.76 = 3,578.24/x
  3. Step 3: Cross multiply
    5,464.64x = 7,538.76 × 3,578.24
  4. Step 4: Simplify right side
    5,464.64x = 26,975,492.58
  5. Step 5: Solve for x
    x = 26,975,492.58/5,464.64
  6. Step 6: Final answer
    x = 4,936.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.