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Finding the Fourth Proportional to 5,672.94, 7,834.64 and 5,054.51

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Solution

The fourth proportional to 5,672.94, 7,834.64 and 5,054.51 is: 6,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.94 : 7,834.64 = 5,054.51 : x
  2. Step 2: Convert to fraction form
    5,672.94/7,834.64 = 5,054.51/x
  3. Step 3: Cross multiply
    5,672.94x = 7,834.64 × 5,054.51
  4. Step 4: Simplify right side
    5,672.94x = 39,600,201.78
  5. Step 5: Solve for x
    x = 39,600,201.78/5,672.94
  6. Step 6: Final answer
    x = 6,980.54

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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.