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Finding the Fourth Proportional to 3,905.95, 5,852.76 and 1,437.37

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Solution

The fourth proportional to 3,905.95, 5,852.76 and 1,437.37 is: 2,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.95 : 5,852.76 = 1,437.37 : x
  2. Step 2: Convert to fraction form
    3,905.95/5,852.76 = 1,437.37/x
  3. Step 3: Cross multiply
    3,905.95x = 5,852.76 × 1,437.37
  4. Step 4: Simplify right side
    3,905.95x = 8,412,581.64
  5. Step 5: Solve for x
    x = 8,412,581.64/3,905.95
  6. Step 6: Final answer
    x = 2,153.79

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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.