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Finding the Fourth Proportional to 5,352.14, 7,389.18 and 3,492.38

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Solution

The fourth proportional to 5,352.14, 7,389.18 and 3,492.38 is: 4,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.14 : 7,389.18 = 3,492.38 : x
  2. Step 2: Convert to fraction form
    5,352.14/7,389.18 = 3,492.38/x
  3. Step 3: Cross multiply
    5,352.14x = 7,389.18 × 3,492.38
  4. Step 4: Simplify right side
    5,352.14x = 25,805,824.45
  5. Step 5: Solve for x
    x = 25,805,824.45/5,352.14
  6. Step 6: Final answer
    x = 4,821.59

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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.