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Finding the Fourth Proportional to 5,949.74, 8,210.08 and 3,559.23

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Solution

The fourth proportional to 5,949.74, 8,210.08 and 3,559.23 is: 4,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.74 : 8,210.08 = 3,559.23 : x
  2. Step 2: Convert to fraction form
    5,949.74/8,210.08 = 3,559.23/x
  3. Step 3: Cross multiply
    5,949.74x = 8,210.08 × 3,559.23
  4. Step 4: Simplify right side
    5,949.74x = 29,221,563.04
  5. Step 5: Solve for x
    x = 29,221,563.04/5,949.74
  6. Step 6: Final answer
    x = 4,911.40

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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.