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Finding the Fourth Proportional to 4,291.04, 6,433.20 and 1,823.84

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Solution

The fourth proportional to 4,291.04, 6,433.20 and 1,823.84 is: 2,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.04 : 6,433.20 = 1,823.84 : x
  2. Step 2: Convert to fraction form
    4,291.04/6,433.20 = 1,823.84/x
  3. Step 3: Cross multiply
    4,291.04x = 6,433.20 × 1,823.84
  4. Step 4: Simplify right side
    4,291.04x = 11,733,127.49
  5. Step 5: Solve for x
    x = 11,733,127.49/4,291.04
  6. Step 6: Final answer
    x = 2,734.33

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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.