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Finding the Fourth Proportional to 5,066.94, 7,588.06 and 2,869.01

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Solution

The fourth proportional to 5,066.94, 7,588.06 and 2,869.01 is: 4,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.94 : 7,588.06 = 2,869.01 : x
  2. Step 2: Convert to fraction form
    5,066.94/7,588.06 = 2,869.01/x
  3. Step 3: Cross multiply
    5,066.94x = 7,588.06 × 2,869.01
  4. Step 4: Simplify right side
    5,066.94x = 21,770,220.02
  5. Step 5: Solve for x
    x = 21,770,220.02/5,066.94
  6. Step 6: Final answer
    x = 4,296.52

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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.