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Finding the Fourth Proportional to 4,899.33, 7,348.80 and 1,201.38

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Solution

The fourth proportional to 4,899.33, 7,348.80 and 1,201.38 is: 1,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.33 : 7,348.80 = 1,201.38 : x
  2. Step 2: Convert to fraction form
    4,899.33/7,348.80 = 1,201.38/x
  3. Step 3: Cross multiply
    4,899.33x = 7,348.80 × 1,201.38
  4. Step 4: Simplify right side
    4,899.33x = 8,828,701.34
  5. Step 5: Solve for x
    x = 8,828,701.34/4,899.33
  6. Step 6: Final answer
    x = 1,802.02

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Why These Related Problems?

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