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Finding the Fourth Proportional to 5,654.87, 7,804.11 and 3,137.22

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Solution

The fourth proportional to 5,654.87, 7,804.11 and 3,137.22 is: 4,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.87 : 7,804.11 = 3,137.22 : x
  2. Step 2: Convert to fraction form
    5,654.87/7,804.11 = 3,137.22/x
  3. Step 3: Cross multiply
    5,654.87x = 7,804.11 × 3,137.22
  4. Step 4: Simplify right side
    5,654.87x = 24,483,209.97
  5. Step 5: Solve for x
    x = 24,483,209.97/5,654.87
  6. Step 6: Final answer
    x = 4,329.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.