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Finding the Fourth Proportional to 4,786.02, 6,604.74 and 2,897.64

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Solution

The fourth proportional to 4,786.02, 6,604.74 and 2,897.64 is: 3,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.02 : 6,604.74 = 2,897.64 : x
  2. Step 2: Convert to fraction form
    4,786.02/6,604.74 = 2,897.64/x
  3. Step 3: Cross multiply
    4,786.02x = 6,604.74 × 2,897.64
  4. Step 4: Simplify right side
    4,786.02x = 19,138,158.81
  5. Step 5: Solve for x
    x = 19,138,158.81/4,786.02
  6. Step 6: Final answer
    x = 3,998.76

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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.