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Finding the Fourth Proportional to 3,578.64, 5,366.04 and 2,346

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Solution

The fourth proportional to 3,578.64, 5,366.04 and 2,346 is: 3,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 5,366.04 = 2,346 : x
  2. Step 2: Convert to fraction form
    3,578.64/5,366.04 = 2,346/x
  3. Step 3: Cross multiply
    3,578.64x = 5,366.04 × 2,346
  4. Step 4: Simplify right side
    3,578.64x = 12,588,729.84
  5. Step 5: Solve for x
    x = 12,588,729.84/3,578.64
  6. Step 6: Final answer
    x = 3,517.74

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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.