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Finding the Fourth Proportional to 4,437.83, 6,655.84 and 2,096.84

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Solution

The fourth proportional to 4,437.83, 6,655.84 and 2,096.84 is: 3,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.83 : 6,655.84 = 2,096.84 : x
  2. Step 2: Convert to fraction form
    4,437.83/6,655.84 = 2,096.84/x
  3. Step 3: Cross multiply
    4,437.83x = 6,655.84 × 2,096.84
  4. Step 4: Simplify right side
    4,437.83x = 13,956,242.94
  5. Step 5: Solve for x
    x = 13,956,242.94/4,437.83
  6. Step 6: Final answer
    x = 3,144.83

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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.