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Finding the Fourth Proportional to 3,437.93, 5,159.07 and 1,463.56

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Solution

The fourth proportional to 3,437.93, 5,159.07 and 1,463.56 is: 2,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.93 : 5,159.07 = 1,463.56 : x
  2. Step 2: Convert to fraction form
    3,437.93/5,159.07 = 1,463.56/x
  3. Step 3: Cross multiply
    3,437.93x = 5,159.07 × 1,463.56
  4. Step 4: Simplify right side
    3,437.93x = 7,550,588.27
  5. Step 5: Solve for x
    x = 7,550,588.27/3,437.93
  6. Step 6: Final answer
    x = 2,196.26

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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.