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Finding the Fourth Proportional to 4,602.09, 6,868.37 and 4,289.97

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Solution

The fourth proportional to 4,602.09, 6,868.37 and 4,289.97 is: 6,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.09 : 6,868.37 = 4,289.97 : x
  2. Step 2: Convert to fraction form
    4,602.09/6,868.37 = 4,289.97/x
  3. Step 3: Cross multiply
    4,602.09x = 6,868.37 × 4,289.97
  4. Step 4: Simplify right side
    4,602.09x = 29,465,079.80
  5. Step 5: Solve for x
    x = 29,465,079.80/4,602.09
  6. Step 6: Final answer
    x = 6,402.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.