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Finding the Fourth Proportional to 5,358.19, 7,386.44 and 3,760.00

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Solution

The fourth proportional to 5,358.19, 7,386.44 and 3,760.00 is: 5,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.19 : 7,386.44 = 3,760.00 : x
  2. Step 2: Convert to fraction form
    5,358.19/7,386.44 = 3,760.00/x
  3. Step 3: Cross multiply
    5,358.19x = 7,386.44 × 3,760.00
  4. Step 4: Simplify right side
    5,358.19x = 27,772,958.67
  5. Step 5: Solve for x
    x = 27,772,958.67/5,358.19
  6. Step 6: Final answer
    x = 5,183.28

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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.