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Finding the Fourth Proportional to 5,437.60, 8,153.82 and 1,738.96

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Solution

The fourth proportional to 5,437.60, 8,153.82 and 1,738.96 is: 2,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.60 : 8,153.82 = 1,738.96 : x
  2. Step 2: Convert to fraction form
    5,437.60/8,153.82 = 1,738.96/x
  3. Step 3: Cross multiply
    5,437.60x = 8,153.82 × 1,738.96
  4. Step 4: Simplify right side
    5,437.60x = 14,179,166.83
  5. Step 5: Solve for x
    x = 14,179,166.83/5,437.60
  6. Step 6: Final answer
    x = 2,607.61

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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.