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Finding the Fourth Proportional to 5,225.80, 7,829 and 3,002.08

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Solution

The fourth proportional to 5,225.80, 7,829 and 3,002.08 is: 4,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.80 : 7,829 = 3,002.08 : x
  2. Step 2: Convert to fraction form
    5,225.80/7,829 = 3,002.08/x
  3. Step 3: Cross multiply
    5,225.80x = 7,829 × 3,002.08
  4. Step 4: Simplify right side
    5,225.80x = 23,503,284.32
  5. Step 5: Solve for x
    x = 23,503,284.32/5,225.80
  6. Step 6: Final answer
    x = 4,497.55

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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.