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Finding the Fourth Proportional to 4,165.12, 5,752.17 and 3,602.89

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Solution

The fourth proportional to 4,165.12, 5,752.17 and 3,602.89 is: 4,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.12 : 5,752.17 = 3,602.89 : x
  2. Step 2: Convert to fraction form
    4,165.12/5,752.17 = 3,602.89/x
  3. Step 3: Cross multiply
    4,165.12x = 5,752.17 × 3,602.89
  4. Step 4: Simplify right side
    4,165.12x = 20,724,389.00
  5. Step 5: Solve for x
    x = 20,724,389.00/4,165.12
  6. Step 6: Final answer
    x = 4,975.71

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