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Finding the Fourth Proportional to 5,290.70, 7,315.09 and 4,634.60

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Solution

The fourth proportional to 5,290.70, 7,315.09 and 4,634.60 is: 6,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.70 : 7,315.09 = 4,634.60 : x
  2. Step 2: Convert to fraction form
    5,290.70/7,315.09 = 4,634.60/x
  3. Step 3: Cross multiply
    5,290.70x = 7,315.09 × 4,634.60
  4. Step 4: Simplify right side
    5,290.70x = 33,902,516.11
  5. Step 5: Solve for x
    x = 33,902,516.11/5,290.70
  6. Step 6: Final answer
    x = 6,407.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.