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Finding the Fourth Proportional to 5,779.32, 7,973.58 and 3,684.12

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Solution

The fourth proportional to 5,779.32, 7,973.58 and 3,684.12 is: 5,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.32 : 7,973.58 = 3,684.12 : x
  2. Step 2: Convert to fraction form
    5,779.32/7,973.58 = 3,684.12/x
  3. Step 3: Cross multiply
    5,779.32x = 7,973.58 × 3,684.12
  4. Step 4: Simplify right side
    5,779.32x = 29,375,625.55
  5. Step 5: Solve for x
    x = 29,375,625.55/5,779.32
  6. Step 6: Final answer
    x = 5,082.89

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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.