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Finding the Fourth Proportional to 3,660.64, 5,491.09 and 1,712.32

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Solution

The fourth proportional to 3,660.64, 5,491.09 and 1,712.32 is: 2,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.64 : 5,491.09 = 1,712.32 : x
  2. Step 2: Convert to fraction form
    3,660.64/5,491.09 = 1,712.32/x
  3. Step 3: Cross multiply
    3,660.64x = 5,491.09 × 1,712.32
  4. Step 4: Simplify right side
    3,660.64x = 9,402,503.23
  5. Step 5: Solve for x
    x = 9,402,503.23/3,660.64
  6. Step 6: Final answer
    x = 2,568.54

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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.