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Finding the Fourth Proportional to 4,949.76, 7,420.56 and 4,023

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Solution

The fourth proportional to 4,949.76, 7,420.56 and 4,023 is: 6,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.76 : 7,420.56 = 4,023 : x
  2. Step 2: Convert to fraction form
    4,949.76/7,420.56 = 4,023/x
  3. Step 3: Cross multiply
    4,949.76x = 7,420.56 × 4,023
  4. Step 4: Simplify right side
    4,949.76x = 29,852,912.88
  5. Step 5: Solve for x
    x = 29,852,912.88/4,949.76
  6. Step 6: Final answer
    x = 6,031.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.