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Finding the Fourth Proportional to 5,478.35, 8,223.37 and 2,359.90

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Solution

The fourth proportional to 5,478.35, 8,223.37 and 2,359.90 is: 3,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.35 : 8,223.37 = 2,359.90 : x
  2. Step 2: Convert to fraction form
    5,478.35/8,223.37 = 2,359.90/x
  3. Step 3: Cross multiply
    5,478.35x = 8,223.37 × 2,359.90
  4. Step 4: Simplify right side
    5,478.35x = 19,406,277.95
  5. Step 5: Solve for x
    x = 19,406,277.95/5,478.35
  6. Step 6: Final answer
    x = 3,542.36

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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.