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Finding the Fourth Proportional to 5,782.93, 8,674.37 and 1,400.39

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Solution

The fourth proportional to 5,782.93, 8,674.37 and 1,400.39 is: 2,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.93 : 8,674.37 = 1,400.39 : x
  2. Step 2: Convert to fraction form
    5,782.93/8,674.37 = 1,400.39/x
  3. Step 3: Cross multiply
    5,782.93x = 8,674.37 × 1,400.39
  4. Step 4: Simplify right side
    5,782.93x = 12,147,501.00
  5. Step 5: Solve for x
    x = 12,147,501.00/5,782.93
  6. Step 6: Final answer
    x = 2,100.58

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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.