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Finding the Fourth Proportional to 6,458.40, 8,912.52 and 3,663.72

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Solution

The fourth proportional to 6,458.40, 8,912.52 and 3,663.72 is: 5,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.40 : 8,912.52 = 3,663.72 : x
  2. Step 2: Convert to fraction form
    6,458.40/8,912.52 = 3,663.72/x
  3. Step 3: Cross multiply
    6,458.40x = 8,912.52 × 3,663.72
  4. Step 4: Simplify right side
    6,458.40x = 32,652,977.77
  5. Step 5: Solve for x
    x = 32,652,977.77/6,458.40
  6. Step 6: Final answer
    x = 5,055.89

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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.