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Finding the Fourth Proportional to 5,848.49, 8,769.40 and 3,477.57

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Solution

The fourth proportional to 5,848.49, 8,769.40 and 3,477.57 is: 5,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.49 : 8,769.40 = 3,477.57 : x
  2. Step 2: Convert to fraction form
    5,848.49/8,769.40 = 3,477.57/x
  3. Step 3: Cross multiply
    5,848.49x = 8,769.40 × 3,477.57
  4. Step 4: Simplify right side
    5,848.49x = 30,496,202.36
  5. Step 5: Solve for x
    x = 30,496,202.36/5,848.49
  6. Step 6: Final answer
    x = 5,214.37

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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.