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Finding the Fourth Proportional to 3,518.34, 5,273.37 and 1,435.96

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Solution

The fourth proportional to 3,518.34, 5,273.37 and 1,435.96 is: 2,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.34 : 5,273.37 = 1,435.96 : x
  2. Step 2: Convert to fraction form
    3,518.34/5,273.37 = 1,435.96/x
  3. Step 3: Cross multiply
    3,518.34x = 5,273.37 × 1,435.96
  4. Step 4: Simplify right side
    3,518.34x = 7,572,354.98
  5. Step 5: Solve for x
    x = 7,572,354.98/3,518.34
  6. Step 6: Final answer
    x = 2,152.25

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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.