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Finding the Fourth Proportional to 3,290.76, 4,537.84 and 2,544.84

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Solution

The fourth proportional to 3,290.76, 4,537.84 and 2,544.84 is: 3,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.76 : 4,537.84 = 2,544.84 : x
  2. Step 2: Convert to fraction form
    3,290.76/4,537.84 = 2,544.84/x
  3. Step 3: Cross multiply
    3,290.76x = 4,537.84 × 2,544.84
  4. Step 4: Simplify right side
    3,290.76x = 11,548,076.75
  5. Step 5: Solve for x
    x = 11,548,076.75/3,290.76
  6. Step 6: Final answer
    x = 3,509.24

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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.