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Finding the Fourth Proportional to 3,486.84, 5,232.34 and 1,406.58

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Solution

The fourth proportional to 3,486.84, 5,232.34 and 1,406.58 is: 2,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.84 : 5,232.34 = 1,406.58 : x
  2. Step 2: Convert to fraction form
    3,486.84/5,232.34 = 1,406.58/x
  3. Step 3: Cross multiply
    3,486.84x = 5,232.34 × 1,406.58
  4. Step 4: Simplify right side
    3,486.84x = 7,359,704.80
  5. Step 5: Solve for x
    x = 7,359,704.80/3,486.84
  6. Step 6: Final answer
    x = 2,110.71

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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.