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Finding the Fourth Proportional to 3,091.53, 4,637.50 and 900.41

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Solution

The fourth proportional to 3,091.53, 4,637.50 and 900.41 is: 1,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.53 : 4,637.50 = 900.41 : x
  2. Step 2: Convert to fraction form
    3,091.53/4,637.50 = 900.41/x
  3. Step 3: Cross multiply
    3,091.53x = 4,637.50 × 900.41
  4. Step 4: Simplify right side
    3,091.53x = 4,175,651.38
  5. Step 5: Solve for x
    x = 4,175,651.38/3,091.53
  6. Step 6: Final answer
    x = 1,350.67

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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.