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Finding the Fourth Proportional to 3,358.16, 5,036.32 and 1,165.69

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Solution

The fourth proportional to 3,358.16, 5,036.32 and 1,165.69 is: 1,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.16 : 5,036.32 = 1,165.69 : x
  2. Step 2: Convert to fraction form
    3,358.16/5,036.32 = 1,165.69/x
  3. Step 3: Cross multiply
    3,358.16x = 5,036.32 × 1,165.69
  4. Step 4: Simplify right side
    3,358.16x = 5,870,756.85
  5. Step 5: Solve for x
    x = 5,870,756.85/3,358.16
  6. Step 6: Final answer
    x = 1,748.21

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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.