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Finding the Fourth Proportional to 5,853.65, 8,764.88 and 3,762.23

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Solution

The fourth proportional to 5,853.65, 8,764.88 and 3,762.23 is: 5,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.65 : 8,764.88 = 3,762.23 : x
  2. Step 2: Convert to fraction form
    5,853.65/8,764.88 = 3,762.23/x
  3. Step 3: Cross multiply
    5,853.65x = 8,764.88 × 3,762.23
  4. Step 4: Simplify right side
    5,853.65x = 32,975,431.85
  5. Step 5: Solve for x
    x = 32,975,431.85/5,853.65
  6. Step 6: Final answer
    x = 5,633.32

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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.