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Finding the Fourth Proportional to 3,089.38, 4,636.50 and 1,858.18

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Solution

The fourth proportional to 3,089.38, 4,636.50 and 1,858.18 is: 2,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.38 : 4,636.50 = 1,858.18 : x
  2. Step 2: Convert to fraction form
    3,089.38/4,636.50 = 1,858.18/x
  3. Step 3: Cross multiply
    3,089.38x = 4,636.50 × 1,858.18
  4. Step 4: Simplify right side
    3,089.38x = 8,615,451.57
  5. Step 5: Solve for x
    x = 8,615,451.57/3,089.38
  6. Step 6: Final answer
    x = 2,788.73

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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.