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Finding the Fourth Proportional to 4,770.16, 6,580.09 and 2,780.50

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Solution

The fourth proportional to 4,770.16, 6,580.09 and 2,780.50 is: 3,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.16 : 6,580.09 = 2,780.50 : x
  2. Step 2: Convert to fraction form
    4,770.16/6,580.09 = 2,780.50/x
  3. Step 3: Cross multiply
    4,770.16x = 6,580.09 × 2,780.50
  4. Step 4: Simplify right side
    4,770.16x = 18,295,940.25
  5. Step 5: Solve for x
    x = 18,295,940.25/4,770.16
  6. Step 6: Final answer
    x = 3,835.50

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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.