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Finding the Fourth Proportional to 5,799.50, 8,699.70 and 2,289.26

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Solution

The fourth proportional to 5,799.50, 8,699.70 and 2,289.26 is: 3,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.50 : 8,699.70 = 2,289.26 : x
  2. Step 2: Convert to fraction form
    5,799.50/8,699.70 = 2,289.26/x
  3. Step 3: Cross multiply
    5,799.50x = 8,699.70 × 2,289.26
  4. Step 4: Simplify right side
    5,799.50x = 19,915,875.22
  5. Step 5: Solve for x
    x = 19,915,875.22/5,799.50
  6. Step 6: Final answer
    x = 3,434.07

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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.