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Finding the Fourth Proportional to 5,103.20, 7,656.60 and 4,923.20

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Solution

The fourth proportional to 5,103.20, 7,656.60 and 4,923.20 is: 7,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.20 : 7,656.60 = 4,923.20 : x
  2. Step 2: Convert to fraction form
    5,103.20/7,656.60 = 4,923.20/x
  3. Step 3: Cross multiply
    5,103.20x = 7,656.60 × 4,923.20
  4. Step 4: Simplify right side
    5,103.20x = 37,694,973.12
  5. Step 5: Solve for x
    x = 37,694,973.12/5,103.20
  6. Step 6: Final answer
    x = 7,386.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.