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Finding the Fourth Proportional to 5,389.36, 8,084 and 1,691.60

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Solution

The fourth proportional to 5,389.36, 8,084 and 1,691.60 is: 2,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.36 : 8,084 = 1,691.60 : x
  2. Step 2: Convert to fraction form
    5,389.36/8,084 = 1,691.60/x
  3. Step 3: Cross multiply
    5,389.36x = 8,084 × 1,691.60
  4. Step 4: Simplify right side
    5,389.36x = 13,674,894.40
  5. Step 5: Solve for x
    x = 13,674,894.40/5,389.36
  6. Step 6: Final answer
    x = 2,537.39

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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.