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Finding the Fourth Proportional to 4,325.32, 6,456.83 and 3,669.40

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Solution

The fourth proportional to 4,325.32, 6,456.83 and 3,669.40 is: 5,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.32 : 6,456.83 = 3,669.40 : x
  2. Step 2: Convert to fraction form
    4,325.32/6,456.83 = 3,669.40/x
  3. Step 3: Cross multiply
    4,325.32x = 6,456.83 × 3,669.40
  4. Step 4: Simplify right side
    4,325.32x = 23,692,692.00
  5. Step 5: Solve for x
    x = 23,692,692.00/4,325.32
  6. Step 6: Final answer
    x = 5,477.67

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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.