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Finding the Fourth Proportional to 5,396.64, 8,089.56 and 4,653.24

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Solution

The fourth proportional to 5,396.64, 8,089.56 and 4,653.24 is: 6,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.64 : 8,089.56 = 4,653.24 : x
  2. Step 2: Convert to fraction form
    5,396.64/8,089.56 = 4,653.24/x
  3. Step 3: Cross multiply
    5,396.64x = 8,089.56 × 4,653.24
  4. Step 4: Simplify right side
    5,396.64x = 37,642,664.17
  5. Step 5: Solve for x
    x = 37,642,664.17/5,396.64
  6. Step 6: Final answer
    x = 6,975.20

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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.