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Finding the Fourth Proportional to 5,852.78, 8,775.06 and 2,154.53

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Solution

The fourth proportional to 5,852.78, 8,775.06 and 2,154.53 is: 3,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.78 : 8,775.06 = 2,154.53 : x
  2. Step 2: Convert to fraction form
    5,852.78/8,775.06 = 2,154.53/x
  3. Step 3: Cross multiply
    5,852.78x = 8,775.06 × 2,154.53
  4. Step 4: Simplify right side
    5,852.78x = 18,906,172.45
  5. Step 5: Solve for x
    x = 18,906,172.45/5,852.78
  6. Step 6: Final answer
    x = 3,230.29

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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.