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Finding the Fourth Proportional to 3,225.90, 4,829.40 and 2,407.80

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Solution

The fourth proportional to 3,225.90, 4,829.40 and 2,407.80 is: 3,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.90 : 4,829.40 = 2,407.80 : x
  2. Step 2: Convert to fraction form
    3,225.90/4,829.40 = 2,407.80/x
  3. Step 3: Cross multiply
    3,225.90x = 4,829.40 × 2,407.80
  4. Step 4: Simplify right side
    3,225.90x = 11,628,229.32
  5. Step 5: Solve for x
    x = 11,628,229.32/3,225.90
  6. Step 6: Final answer
    x = 3,604.65

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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.