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Finding the Fourth Proportional to 5,855.16, 8,085.51 and 3,762.93

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Solution

The fourth proportional to 5,855.16, 8,085.51 and 3,762.93 is: 5,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.16 : 8,085.51 = 3,762.93 : x
  2. Step 2: Convert to fraction form
    5,855.16/8,085.51 = 3,762.93/x
  3. Step 3: Cross multiply
    5,855.16x = 8,085.51 × 3,762.93
  4. Step 4: Simplify right side
    5,855.16x = 30,425,208.14
  5. Step 5: Solve for x
    x = 30,425,208.14/5,855.16
  6. Step 6: Final answer
    x = 5,196.31

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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.