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Finding the Fourth Proportional to 3,364.32, 5,037 and 2,374.80

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Solution

The fourth proportional to 3,364.32, 5,037 and 2,374.80 is: 3,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.32 : 5,037 = 2,374.80 : x
  2. Step 2: Convert to fraction form
    3,364.32/5,037 = 2,374.80/x
  3. Step 3: Cross multiply
    3,364.32x = 5,037 × 2,374.80
  4. Step 4: Simplify right side
    3,364.32x = 11,961,867.60
  5. Step 5: Solve for x
    x = 11,961,867.60/3,364.32
  6. Step 6: Final answer
    x = 3,555.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.