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Finding the Fourth Proportional to 3,348.10, 5,024.46 and 1,156.84

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Solution

The fourth proportional to 3,348.10, 5,024.46 and 1,156.84 is: 1,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.10 : 5,024.46 = 1,156.84 : x
  2. Step 2: Convert to fraction form
    3,348.10/5,024.46 = 1,156.84/x
  3. Step 3: Cross multiply
    3,348.10x = 5,024.46 × 1,156.84
  4. Step 4: Simplify right side
    3,348.10x = 5,812,496.31
  5. Step 5: Solve for x
    x = 5,812,496.31/3,348.10
  6. Step 6: Final answer
    x = 1,736.06

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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.