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Finding the Fourth Proportional to 5,897.16, 8,841.42 and 5,085

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Solution

The fourth proportional to 5,897.16, 8,841.42 and 5,085 is: 7,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.16 : 8,841.42 = 5,085 : x
  2. Step 2: Convert to fraction form
    5,897.16/8,841.42 = 5,085/x
  3. Step 3: Cross multiply
    5,897.16x = 8,841.42 × 5,085
  4. Step 4: Simplify right side
    5,897.16x = 44,958,620.70
  5. Step 5: Solve for x
    x = 44,958,620.70/5,897.16
  6. Step 6: Final answer
    x = 7,623.77

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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.