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Finding the Fourth Proportional to 5,089.94, 6,971.49 and 4,791.06

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Solution

The fourth proportional to 5,089.94, 6,971.49 and 4,791.06 is: 6,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.94 : 6,971.49 = 4,791.06 : x
  2. Step 2: Convert to fraction form
    5,089.94/6,971.49 = 4,791.06/x
  3. Step 3: Cross multiply
    5,089.94x = 6,971.49 × 4,791.06
  4. Step 4: Simplify right side
    5,089.94x = 33,400,826.88
  5. Step 5: Solve for x
    x = 33,400,826.88/5,089.94
  6. Step 6: Final answer
    x = 6,562.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.