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Finding the Fourth Proportional to 4,190.99, 5,783.55 and 2,302.53

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Solution

The fourth proportional to 4,190.99, 5,783.55 and 2,302.53 is: 3,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.99 : 5,783.55 = 2,302.53 : x
  2. Step 2: Convert to fraction form
    4,190.99/5,783.55 = 2,302.53/x
  3. Step 3: Cross multiply
    4,190.99x = 5,783.55 × 2,302.53
  4. Step 4: Simplify right side
    4,190.99x = 13,316,797.38
  5. Step 5: Solve for x
    x = 13,316,797.38/4,190.99
  6. Step 6: Final answer
    x = 3,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.