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Finding the Fourth Proportional to 5,492.88, 7,578.32 and 3,133.36

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Solution

The fourth proportional to 5,492.88, 7,578.32 and 3,133.36 is: 4,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.88 : 7,578.32 = 3,133.36 : x
  2. Step 2: Convert to fraction form
    5,492.88/7,578.32 = 3,133.36/x
  3. Step 3: Cross multiply
    5,492.88x = 7,578.32 × 3,133.36
  4. Step 4: Simplify right side
    5,492.88x = 23,745,604.76
  5. Step 5: Solve for x
    x = 23,745,604.76/5,492.88
  6. Step 6: Final answer
    x = 4,322.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.