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Finding the Fourth Proportional to 4,165.59, 5,748.33 and 2,277.16

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Solution

The fourth proportional to 4,165.59, 5,748.33 and 2,277.16 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.59 : 5,748.33 = 2,277.16 : x
  2. Step 2: Convert to fraction form
    4,165.59/5,748.33 = 2,277.16/x
  3. Step 3: Cross multiply
    4,165.59x = 5,748.33 × 2,277.16
  4. Step 4: Simplify right side
    4,165.59x = 13,089,867.14
  5. Step 5: Solve for x
    x = 13,089,867.14/4,165.59
  6. Step 6: Final answer
    x = 3,142.38

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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.