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Finding the Fourth Proportional to 5,730.30, 7,907.90 and 3,492.27

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Solution

The fourth proportional to 5,730.30, 7,907.90 and 3,492.27 is: 4,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.30 : 7,907.90 = 3,492.27 : x
  2. Step 2: Convert to fraction form
    5,730.30/7,907.90 = 3,492.27/x
  3. Step 3: Cross multiply
    5,730.30x = 7,907.90 × 3,492.27
  4. Step 4: Simplify right side
    5,730.30x = 27,616,504.47
  5. Step 5: Solve for x
    x = 27,616,504.47/5,730.30
  6. Step 6: Final answer
    x = 4,819.38

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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.