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Finding the Fourth Proportional to 4,582.20, 6,865.20 and 3,885.60

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Solution

The fourth proportional to 4,582.20, 6,865.20 and 3,885.60 is: 5,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.20 : 6,865.20 = 3,885.60 : x
  2. Step 2: Convert to fraction form
    4,582.20/6,865.20 = 3,885.60/x
  3. Step 3: Cross multiply
    4,582.20x = 6,865.20 × 3,885.60
  4. Step 4: Simplify right side
    4,582.20x = 26,675,421.12
  5. Step 5: Solve for x
    x = 26,675,421.12/4,582.20
  6. Step 6: Final answer
    x = 5,821.53

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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.