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Finding the Fourth Proportional to 5,583.09, 7,758.09 and 5,522.34

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Solution

The fourth proportional to 5,583.09, 7,758.09 and 5,522.34 is: 7,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.09 : 7,758.09 = 5,522.34 : x
  2. Step 2: Convert to fraction form
    5,583.09/7,758.09 = 5,522.34/x
  3. Step 3: Cross multiply
    5,583.09x = 7,758.09 × 5,522.34
  4. Step 4: Simplify right side
    5,583.09x = 42,842,810.73
  5. Step 5: Solve for x
    x = 42,842,810.73/5,583.09
  6. Step 6: Final answer
    x = 7,673.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.