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Finding the Fourth Proportional to 3,657.54, 5,486.32 and 2,928.54

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Solution

The fourth proportional to 3,657.54, 5,486.32 and 2,928.54 is: 4,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.54 : 5,486.32 = 2,928.54 : x
  2. Step 2: Convert to fraction form
    3,657.54/5,486.32 = 2,928.54/x
  3. Step 3: Cross multiply
    3,657.54x = 5,486.32 × 2,928.54
  4. Step 4: Simplify right side
    3,657.54x = 16,066,907.57
  5. Step 5: Solve for x
    x = 16,066,907.57/3,657.54
  6. Step 6: Final answer
    x = 4,392.82

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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.