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Finding the Fourth Proportional to 3,495.81, 5,242.60 and 1,155.38

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Solution

The fourth proportional to 3,495.81, 5,242.60 and 1,155.38 is: 1,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.81 : 5,242.60 = 1,155.38 : x
  2. Step 2: Convert to fraction form
    3,495.81/5,242.60 = 1,155.38/x
  3. Step 3: Cross multiply
    3,495.81x = 5,242.60 × 1,155.38
  4. Step 4: Simplify right side
    3,495.81x = 6,057,166.09
  5. Step 5: Solve for x
    x = 6,057,166.09/3,495.81
  6. Step 6: Final answer
    x = 1,732.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.