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Finding the Fourth Proportional to 5,739.16, 8,594.89 and 3,266.48

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Solution

The fourth proportional to 5,739.16, 8,594.89 and 3,266.48 is: 4,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.16 : 8,594.89 = 3,266.48 : x
  2. Step 2: Convert to fraction form
    5,739.16/8,594.89 = 3,266.48/x
  3. Step 3: Cross multiply
    5,739.16x = 8,594.89 × 3,266.48
  4. Step 4: Simplify right side
    5,739.16x = 28,075,036.29
  5. Step 5: Solve for x
    x = 28,075,036.29/5,739.16
  6. Step 6: Final answer
    x = 4,891.84

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1.5x scale

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.