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Finding the Fourth Proportional to 4,738.34, 7,108.53 and 1,816.64

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Solution

The fourth proportional to 4,738.34, 7,108.53 and 1,816.64 is: 2,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.34 : 7,108.53 = 1,816.64 : x
  2. Step 2: Convert to fraction form
    4,738.34/7,108.53 = 1,816.64/x
  3. Step 3: Cross multiply
    4,738.34x = 7,108.53 × 1,816.64
  4. Step 4: Simplify right side
    4,738.34x = 12,913,604.40
  5. Step 5: Solve for x
    x = 12,913,604.40/4,738.34
  6. Step 6: Final answer
    x = 2,725.35

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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.