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Finding the Fourth Proportional to 5,859, 8,085.42 and 4,368.20

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Solution

The fourth proportional to 5,859, 8,085.42 and 4,368.20 is: 6,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,085.42 = 4,368.20 : x
  2. Step 2: Convert to fraction form
    5,859/8,085.42 = 4,368.20/x
  3. Step 3: Cross multiply
    5,859x = 8,085.42 × 4,368.20
  4. Step 4: Simplify right side
    5,859x = 35,318,691.22
  5. Step 5: Solve for x
    x = 35,318,691.22/5,859
  6. Step 6: Final answer
    x = 6,028.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.