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Finding the Fourth Proportional to 3,416.40, 5,124.56 and 1,364.40

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Solution

The fourth proportional to 3,416.40, 5,124.56 and 1,364.40 is: 2,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.40 : 5,124.56 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    3,416.40/5,124.56 = 1,364.40/x
  3. Step 3: Cross multiply
    3,416.40x = 5,124.56 × 1,364.40
  4. Step 4: Simplify right side
    3,416.40x = 6,991,949.66
  5. Step 5: Solve for x
    x = 6,991,949.66/3,416.40
  6. Step 6: Final answer
    x = 2,046.58

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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.