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Finding the Fourth Proportional to 3,225.54, 4,447.08 and 2,089.20

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Solution

The fourth proportional to 3,225.54, 4,447.08 and 2,089.20 is: 2,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.54 : 4,447.08 = 2,089.20 : x
  2. Step 2: Convert to fraction form
    3,225.54/4,447.08 = 2,089.20/x
  3. Step 3: Cross multiply
    3,225.54x = 4,447.08 × 2,089.20
  4. Step 4: Simplify right side
    3,225.54x = 9,290,839.54
  5. Step 5: Solve for x
    x = 9,290,839.54/3,225.54
  6. Step 6: Final answer
    x = 2,880.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.