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Finding the Fourth Proportional to 3,430.65, 4,736.38 and 2,219.90

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Solution

The fourth proportional to 3,430.65, 4,736.38 and 2,219.90 is: 3,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.65 : 4,736.38 = 2,219.90 : x
  2. Step 2: Convert to fraction form
    3,430.65/4,736.38 = 2,219.90/x
  3. Step 3: Cross multiply
    3,430.65x = 4,736.38 × 2,219.90
  4. Step 4: Simplify right side
    3,430.65x = 10,514,289.96
  5. Step 5: Solve for x
    x = 10,514,289.96/3,430.65
  6. Step 6: Final answer
    x = 3,064.81

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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.