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Finding the Fourth Proportional to 5,684.82, 7,842.23 and 3,798.93

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Solution

The fourth proportional to 5,684.82, 7,842.23 and 3,798.93 is: 5,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.82 : 7,842.23 = 3,798.93 : x
  2. Step 2: Convert to fraction form
    5,684.82/7,842.23 = 3,798.93/x
  3. Step 3: Cross multiply
    5,684.82x = 7,842.23 × 3,798.93
  4. Step 4: Simplify right side
    5,684.82x = 29,792,070.94
  5. Step 5: Solve for x
    x = 29,792,070.94/5,684.82
  6. Step 6: Final answer
    x = 5,240.64

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1.5x scale

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.