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Finding the Fourth Proportional to 5,746.55, 8,608.88 and 2,969.06

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Solution

The fourth proportional to 5,746.55, 8,608.88 and 2,969.06 is: 4,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.55 : 8,608.88 = 2,969.06 : x
  2. Step 2: Convert to fraction form
    5,746.55/8,608.88 = 2,969.06/x
  3. Step 3: Cross multiply
    5,746.55x = 8,608.88 × 2,969.06
  4. Step 4: Simplify right side
    5,746.55x = 25,560,245.63
  5. Step 5: Solve for x
    x = 25,560,245.63/5,746.55
  6. Step 6: Final answer
    x = 4,447.93

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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.