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Finding the Fourth Proportional to 4,772.49, 7,105.29 and 4,749.41

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Solution

The fourth proportional to 4,772.49, 7,105.29 and 4,749.41 is: 7,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.49 : 7,105.29 = 4,749.41 : x
  2. Step 2: Convert to fraction form
    4,772.49/7,105.29 = 4,749.41/x
  3. Step 3: Cross multiply
    4,772.49x = 7,105.29 × 4,749.41
  4. Step 4: Simplify right side
    4,772.49x = 33,745,955.42
  5. Step 5: Solve for x
    x = 33,745,955.42/4,772.49
  6. Step 6: Final answer
    x = 7,070.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.