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Finding the Fourth Proportional to 4,421.70, 6,632.55 and 1,823.22

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Solution

The fourth proportional to 4,421.70, 6,632.55 and 1,823.22 is: 2,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421.70 : 6,632.55 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    4,421.70/6,632.55 = 1,823.22/x
  3. Step 3: Cross multiply
    4,421.70x = 6,632.55 × 1,823.22
  4. Step 4: Simplify right side
    4,421.70x = 12,092,597.81
  5. Step 5: Solve for x
    x = 12,092,597.81/4,421.70
  6. Step 6: Final answer
    x = 2,734.83

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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.