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Finding the Fourth Proportional to 5,202.09, 7,804.71 and 4,650.78

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Solution

The fourth proportional to 5,202.09, 7,804.71 and 4,650.78 is: 6,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.09 : 7,804.71 = 4,650.78 : x
  2. Step 2: Convert to fraction form
    5,202.09/7,804.71 = 4,650.78/x
  3. Step 3: Cross multiply
    5,202.09x = 7,804.71 × 4,650.78
  4. Step 4: Simplify right side
    5,202.09x = 36,297,989.17
  5. Step 5: Solve for x
    x = 36,297,989.17/5,202.09
  6. Step 6: Final answer
    x = 6,977.58

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1.5x scale

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.