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Finding the Fourth Proportional to 5,653.44, 7,801.60 and 3,134.64

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Solution

The fourth proportional to 5,653.44, 7,801.60 and 3,134.64 is: 4,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.44 : 7,801.60 = 3,134.64 : x
  2. Step 2: Convert to fraction form
    5,653.44/7,801.60 = 3,134.64/x
  3. Step 3: Cross multiply
    5,653.44x = 7,801.60 × 3,134.64
  4. Step 4: Simplify right side
    5,653.44x = 24,455,207.42
  5. Step 5: Solve for x
    x = 24,455,207.42/5,653.44
  6. Step 6: Final answer
    x = 4,325.72

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