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Finding the Fourth Proportional to 5,066.56, 6,992.00 and 2,828.40

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Solution

The fourth proportional to 5,066.56, 6,992.00 and 2,828.40 is: 3,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.56 : 6,992.00 = 2,828.40 : x
  2. Step 2: Convert to fraction form
    5,066.56/6,992.00 = 2,828.40/x
  3. Step 3: Cross multiply
    5,066.56x = 6,992.00 × 2,828.40
  4. Step 4: Simplify right side
    5,066.56x = 19,776,143.04
  5. Step 5: Solve for x
    x = 19,776,143.04/5,066.56
  6. Step 6: Final answer
    x = 3,903.27

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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.