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Finding the Fourth Proportional to 5,208.09, 7,805.34 and 4,548.40

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Solution

The fourth proportional to 5,208.09, 7,805.34 and 4,548.40 is: 6,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.09 : 7,805.34 = 4,548.40 : x
  2. Step 2: Convert to fraction form
    5,208.09/7,805.34 = 4,548.40/x
  3. Step 3: Cross multiply
    5,208.09x = 7,805.34 × 4,548.40
  4. Step 4: Simplify right side
    5,208.09x = 35,501,808.46
  5. Step 5: Solve for x
    x = 35,501,808.46/5,208.09
  6. Step 6: Final answer
    x = 6,816.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.