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Finding the Fourth Proportional to 3,091.63, 4,637.50 and 900.38

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Solution

The fourth proportional to 3,091.63, 4,637.50 and 900.38 is: 1,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.63 : 4,637.50 = 900.38 : x
  2. Step 2: Convert to fraction form
    3,091.63/4,637.50 = 900.38/x
  3. Step 3: Cross multiply
    3,091.63x = 4,637.50 × 900.38
  4. Step 4: Simplify right side
    3,091.63x = 4,175,484.56
  5. Step 5: Solve for x
    x = 4,175,484.56/3,091.63
  6. Step 6: Final answer
    x = 1,350.58

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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.