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Finding the Fourth Proportional to 5,894.35, 8,839.63 and 1,944.72

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Solution

The fourth proportional to 5,894.35, 8,839.63 and 1,944.72 is: 2,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.35 : 8,839.63 = 1,944.72 : x
  2. Step 2: Convert to fraction form
    5,894.35/8,839.63 = 1,944.72/x
  3. Step 3: Cross multiply
    5,894.35x = 8,839.63 × 1,944.72
  4. Step 4: Simplify right side
    5,894.35x = 17,190,595.53
  5. Step 5: Solve for x
    x = 17,190,595.53/5,894.35
  6. Step 6: Final answer
    x = 2,916.46

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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.