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Finding the Fourth Proportional to 3,403.84, 4,699.92 and 2,225.56

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Solution

The fourth proportional to 3,403.84, 4,699.92 and 2,225.56 is: 3,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.84 : 4,699.92 = 2,225.56 : x
  2. Step 2: Convert to fraction form
    3,403.84/4,699.92 = 2,225.56/x
  3. Step 3: Cross multiply
    3,403.84x = 4,699.92 × 2,225.56
  4. Step 4: Simplify right side
    3,403.84x = 10,459,953.96
  5. Step 5: Solve for x
    x = 10,459,953.96/3,403.84
  6. Step 6: Final answer
    x = 3,072.99

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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.