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Finding the Fourth Proportional to 5,884.68, 8,827.02 and 2,419.50

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Solution

The fourth proportional to 5,884.68, 8,827.02 and 2,419.50 is: 3,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.68 : 8,827.02 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    5,884.68/8,827.02 = 2,419.50/x
  3. Step 3: Cross multiply
    5,884.68x = 8,827.02 × 2,419.50
  4. Step 4: Simplify right side
    5,884.68x = 21,356,974.89
  5. Step 5: Solve for x
    x = 21,356,974.89/5,884.68
  6. Step 6: Final answer
    x = 3,629.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.