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Finding the Fourth Proportional to 5,782.79, 8,669.86 and 2,704.07

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Solution

The fourth proportional to 5,782.79, 8,669.86 and 2,704.07 is: 4,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.79 : 8,669.86 = 2,704.07 : x
  2. Step 2: Convert to fraction form
    5,782.79/8,669.86 = 2,704.07/x
  3. Step 3: Cross multiply
    5,782.79x = 8,669.86 × 2,704.07
  4. Step 4: Simplify right side
    5,782.79x = 23,443,858.22
  5. Step 5: Solve for x
    x = 23,443,858.22/5,782.79
  6. Step 6: Final answer
    x = 4,054.08

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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.