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Finding the Fourth Proportional to 5,185.48, 7,771.72 and 4,085.50

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Solution

The fourth proportional to 5,185.48, 7,771.72 and 4,085.50 is: 6,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.48 : 7,771.72 = 4,085.50 : x
  2. Step 2: Convert to fraction form
    5,185.48/7,771.72 = 4,085.50/x
  3. Step 3: Cross multiply
    5,185.48x = 7,771.72 × 4,085.50
  4. Step 4: Simplify right side
    5,185.48x = 31,751,362.06
  5. Step 5: Solve for x
    x = 31,751,362.06/5,185.48
  6. Step 6: Final answer
    x = 6,123.13

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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.