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Finding the Fourth Proportional to 4,650.35, 6,975.59 and 1,187.60

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Solution

The fourth proportional to 4,650.35, 6,975.59 and 1,187.60 is: 1,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.35 : 6,975.59 = 1,187.60 : x
  2. Step 2: Convert to fraction form
    4,650.35/6,975.59 = 1,187.60/x
  3. Step 3: Cross multiply
    4,650.35x = 6,975.59 × 1,187.60
  4. Step 4: Simplify right side
    4,650.35x = 8,284,169.87
  5. Step 5: Solve for x
    x = 8,284,169.87/4,650.35
  6. Step 6: Final answer
    x = 1,781.41

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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.