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Finding the Fourth Proportional to 5,629.44, 8,438.72 and 5,148.32

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Solution

The fourth proportional to 5,629.44, 8,438.72 and 5,148.32 is: 7,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.44 : 8,438.72 = 5,148.32 : x
  2. Step 2: Convert to fraction form
    5,629.44/8,438.72 = 5,148.32/x
  3. Step 3: Cross multiply
    5,629.44x = 8,438.72 × 5,148.32
  4. Step 4: Simplify right side
    5,629.44x = 43,445,230.95
  5. Step 5: Solve for x
    x = 43,445,230.95/5,629.44
  6. Step 6: Final answer
    x = 7,717.50

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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.