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Finding the Fourth Proportional to 3,405.62, 4,688.98 and 3,094.19

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Solution

The fourth proportional to 3,405.62, 4,688.98 and 3,094.19 is: 4,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.62 : 4,688.98 = 3,094.19 : x
  2. Step 2: Convert to fraction form
    3,405.62/4,688.98 = 3,094.19/x
  3. Step 3: Cross multiply
    3,405.62x = 4,688.98 × 3,094.19
  4. Step 4: Simplify right side
    3,405.62x = 14,508,563.85
  5. Step 5: Solve for x
    x = 14,508,563.85/3,405.62
  6. Step 6: Final answer
    x = 4,260.19

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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.