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Finding the Fourth Proportional to 5,507.72, 8,266.80 and 3,421.40

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Solution

The fourth proportional to 5,507.72, 8,266.80 and 3,421.40 is: 5,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.72 : 8,266.80 = 3,421.40 : x
  2. Step 2: Convert to fraction form
    5,507.72/8,266.80 = 3,421.40/x
  3. Step 3: Cross multiply
    5,507.72x = 8,266.80 × 3,421.40
  4. Step 4: Simplify right side
    5,507.72x = 28,284,029.52
  5. Step 5: Solve for x
    x = 28,284,029.52/5,507.72
  6. Step 6: Final answer
    x = 5,135.34

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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.