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Finding the Fourth Proportional to 5,730.48, 7,907.49 and 3,492.90

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Solution

The fourth proportional to 5,730.48, 7,907.49 and 3,492.90 is: 4,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.48 : 7,907.49 = 3,492.90 : x
  2. Step 2: Convert to fraction form
    5,730.48/7,907.49 = 3,492.90/x
  3. Step 3: Cross multiply
    5,730.48x = 7,907.49 × 3,492.90
  4. Step 4: Simplify right side
    5,730.48x = 27,620,071.82
  5. Step 5: Solve for x
    x = 27,620,071.82/5,730.48
  6. Step 6: Final answer
    x = 4,819.85

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