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Finding the Fourth Proportional to 5,829.95, 8,735.20 and 4,095.47

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Solution

The fourth proportional to 5,829.95, 8,735.20 and 4,095.47 is: 6,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.95 : 8,735.20 = 4,095.47 : x
  2. Step 2: Convert to fraction form
    5,829.95/8,735.20 = 4,095.47/x
  3. Step 3: Cross multiply
    5,829.95x = 8,735.20 × 4,095.47
  4. Step 4: Simplify right side
    5,829.95x = 35,774,749.54
  5. Step 5: Solve for x
    x = 35,774,749.54/5,829.95
  6. Step 6: Final answer
    x = 6,136.37

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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.