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Finding the Fourth Proportional to 5,884.68, 8,828.10 and 2,420.04

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Solution

The fourth proportional to 5,884.68, 8,828.10 and 2,420.04 is: 3,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.68 : 8,828.10 = 2,420.04 : x
  2. Step 2: Convert to fraction form
    5,884.68/8,828.10 = 2,420.04/x
  3. Step 3: Cross multiply
    5,884.68x = 8,828.10 × 2,420.04
  4. Step 4: Simplify right side
    5,884.68x = 21,364,355.12
  5. Step 5: Solve for x
    x = 21,364,355.12/5,884.68
  6. Step 6: Final answer
    x = 3,630.50

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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.