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Finding the Fourth Proportional to 4,905.54, 6,765.03 and 3,784.70

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Solution

The fourth proportional to 4,905.54, 6,765.03 and 3,784.70 is: 5,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.54 : 6,765.03 = 3,784.70 : x
  2. Step 2: Convert to fraction form
    4,905.54/6,765.03 = 3,784.70/x
  3. Step 3: Cross multiply
    4,905.54x = 6,765.03 × 3,784.70
  4. Step 4: Simplify right side
    4,905.54x = 25,603,575.22
  5. Step 5: Solve for x
    x = 25,603,575.22/4,905.54
  6. Step 6: Final answer
    x = 5,219.32

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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.