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Finding the Fourth Proportional to 5,728.56, 8,594.16 and 1,779.60

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Solution

The fourth proportional to 5,728.56, 8,594.16 and 1,779.60 is: 2,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.56 : 8,594.16 = 1,779.60 : x
  2. Step 2: Convert to fraction form
    5,728.56/8,594.16 = 1,779.60/x
  3. Step 3: Cross multiply
    5,728.56x = 8,594.16 × 1,779.60
  4. Step 4: Simplify right side
    5,728.56x = 15,294,167.14
  5. Step 5: Solve for x
    x = 15,294,167.14/5,728.56
  6. Step 6: Final answer
    x = 2,669.81

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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.