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Finding the Fourth Proportional to 5,438.48, 8,147.00 and 2,656.89

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Solution

The fourth proportional to 5,438.48, 8,147.00 and 2,656.89 is: 3,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.48 : 8,147.00 = 2,656.89 : x
  2. Step 2: Convert to fraction form
    5,438.48/8,147.00 = 2,656.89/x
  3. Step 3: Cross multiply
    5,438.48x = 8,147.00 × 2,656.89
  4. Step 4: Simplify right side
    5,438.48x = 21,645,669.55
  5. Step 5: Solve for x
    x = 21,645,669.55/5,438.48
  6. Step 6: Final answer
    x = 3,980.10

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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.