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Finding the Fourth Proportional to 4,830.70, 7,246.05 and 3,189.10

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Solution

The fourth proportional to 4,830.70, 7,246.05 and 3,189.10 is: 4,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.70 : 7,246.05 = 3,189.10 : x
  2. Step 2: Convert to fraction form
    4,830.70/7,246.05 = 3,189.10/x
  3. Step 3: Cross multiply
    4,830.70x = 7,246.05 × 3,189.10
  4. Step 4: Simplify right side
    4,830.70x = 23,108,378.06
  5. Step 5: Solve for x
    x = 23,108,378.06/4,830.70
  6. Step 6: Final answer
    x = 4,783.65

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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.