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Finding the Fourth Proportional to 4,775.58, 7,163.69 and 1,265.54

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Solution

The fourth proportional to 4,775.58, 7,163.69 and 1,265.54 is: 1,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.58 : 7,163.69 = 1,265.54 : x
  2. Step 2: Convert to fraction form
    4,775.58/7,163.69 = 1,265.54/x
  3. Step 3: Cross multiply
    4,775.58x = 7,163.69 × 1,265.54
  4. Step 4: Simplify right side
    4,775.58x = 9,065,941.51
  5. Step 5: Solve for x
    x = 9,065,941.51/4,775.58
  6. Step 6: Final answer
    x = 1,898.39

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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.