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Finding the Fourth Proportional to 3,385.32, 5,078.34 and 1,437.72

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Solution

The fourth proportional to 3,385.32, 5,078.34 and 1,437.72 is: 2,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.32 : 5,078.34 = 1,437.72 : x
  2. Step 2: Convert to fraction form
    3,385.32/5,078.34 = 1,437.72/x
  3. Step 3: Cross multiply
    3,385.32x = 5,078.34 × 1,437.72
  4. Step 4: Simplify right side
    3,385.32x = 7,301,230.98
  5. Step 5: Solve for x
    x = 7,301,230.98/3,385.32
  6. Step 6: Final answer
    x = 2,156.73

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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.