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Finding the Fourth Proportional to 4,780.36, 7,166.94 and 4,090.60

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Solution

The fourth proportional to 4,780.36, 7,166.94 and 4,090.60 is: 6,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.36 : 7,166.94 = 4,090.60 : x
  2. Step 2: Convert to fraction form
    4,780.36/7,166.94 = 4,090.60/x
  3. Step 3: Cross multiply
    4,780.36x = 7,166.94 × 4,090.60
  4. Step 4: Simplify right side
    4,780.36x = 29,317,084.76
  5. Step 5: Solve for x
    x = 29,317,084.76/4,780.36
  6. Step 6: Final answer
    x = 6,132.82

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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.