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Finding the Fourth Proportional to 4,524.78, 6,784.52 and 1,403.94

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Solution

The fourth proportional to 4,524.78, 6,784.52 and 1,403.94 is: 2,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.78 : 6,784.52 = 1,403.94 : x
  2. Step 2: Convert to fraction form
    4,524.78/6,784.52 = 1,403.94/x
  3. Step 3: Cross multiply
    4,524.78x = 6,784.52 × 1,403.94
  4. Step 4: Simplify right side
    4,524.78x = 9,525,059.01
  5. Step 5: Solve for x
    x = 9,525,059.01/4,524.78
  6. Step 6: Final answer
    x = 2,105.09

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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.