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Finding the Fourth Proportional to 4,419.40, 6,632.08 and 1,822.28

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Solution

The fourth proportional to 4,419.40, 6,632.08 and 1,822.28 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.40 : 6,632.08 = 1,822.28 : x
  2. Step 2: Convert to fraction form
    4,419.40/6,632.08 = 1,822.28/x
  3. Step 3: Cross multiply
    4,419.40x = 6,632.08 × 1,822.28
  4. Step 4: Simplify right side
    4,419.40x = 12,085,506.74
  5. Step 5: Solve for x
    x = 12,085,506.74/4,419.40
  6. Step 6: Final answer
    x = 2,734.65

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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.