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Finding the Fourth Proportional to 5,668.32, 7,824.47 and 3,779.22

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Solution

The fourth proportional to 5,668.32, 7,824.47 and 3,779.22 is: 5,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.32 : 7,824.47 = 3,779.22 : x
  2. Step 2: Convert to fraction form
    5,668.32/7,824.47 = 3,779.22/x
  3. Step 3: Cross multiply
    5,668.32x = 7,824.47 × 3,779.22
  4. Step 4: Simplify right side
    5,668.32x = 29,570,370.58
  5. Step 5: Solve for x
    x = 29,570,370.58/5,668.32
  6. Step 6: Final answer
    x = 5,216.77

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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.