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Finding the Fourth Proportional to 5,505.72, 8,263.80 and 3,419.40

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Solution

The fourth proportional to 5,505.72, 8,263.80 and 3,419.40 is: 5,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.72 : 8,263.80 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    5,505.72/8,263.80 = 3,419.40/x
  3. Step 3: Cross multiply
    5,505.72x = 8,263.80 × 3,419.40
  4. Step 4: Simplify right side
    5,505.72x = 28,257,237.72
  5. Step 5: Solve for x
    x = 28,257,237.72/5,505.72
  6. Step 6: Final answer
    x = 5,132.34

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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.