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Finding the Fourth Proportional to 5,774.58, 8,659.70 and 4,556.34

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Solution

The fourth proportional to 5,774.58, 8,659.70 and 4,556.34 is: 6,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.58 : 8,659.70 = 4,556.34 : x
  2. Step 2: Convert to fraction form
    5,774.58/8,659.70 = 4,556.34/x
  3. Step 3: Cross multiply
    5,774.58x = 8,659.70 × 4,556.34
  4. Step 4: Simplify right side
    5,774.58x = 39,456,537.50
  5. Step 5: Solve for x
    x = 39,456,537.50/5,774.58
  6. Step 6: Final answer
    x = 6,832.80

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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.