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Finding the Fourth Proportional to 4,766.32, 6,580.44 and 3,775.60

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Solution

The fourth proportional to 4,766.32, 6,580.44 and 3,775.60 is: 5,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.32 : 6,580.44 = 3,775.60 : x
  2. Step 2: Convert to fraction form
    4,766.32/6,580.44 = 3,775.60/x
  3. Step 3: Cross multiply
    4,766.32x = 6,580.44 × 3,775.60
  4. Step 4: Simplify right side
    4,766.32x = 24,845,109.26
  5. Step 5: Solve for x
    x = 24,845,109.26/4,766.32
  6. Step 6: Final answer
    x = 5,212.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.