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Finding the Fourth Proportional to 3,405.42, 4,688.73 and 3,093.99

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Solution

The fourth proportional to 3,405.42, 4,688.73 and 3,093.99 is: 4,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 4,688.73 = 3,093.99 : x
  2. Step 2: Convert to fraction form
    3,405.42/4,688.73 = 3,093.99/x
  3. Step 3: Cross multiply
    3,405.42x = 4,688.73 × 3,093.99
  4. Step 4: Simplify right side
    3,405.42x = 14,506,883.73
  5. Step 5: Solve for x
    x = 14,506,883.73/3,405.42
  6. Step 6: Final answer
    x = 4,259.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.