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Finding the Fourth Proportional to 5,779.20, 7,968.54 and 5,467.80

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Solution

The fourth proportional to 5,779.20, 7,968.54 and 5,467.80 is: 7,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.20 : 7,968.54 = 5,467.80 : x
  2. Step 2: Convert to fraction form
    5,779.20/7,968.54 = 5,467.80/x
  3. Step 3: Cross multiply
    5,779.20x = 7,968.54 × 5,467.80
  4. Step 4: Simplify right side
    5,779.20x = 43,570,383.01
  5. Step 5: Solve for x
    x = 43,570,383.01/5,779.20
  6. Step 6: Final answer
    x = 7,539.17

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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.