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Finding the Fourth Proportional to 5,386.56, 7,434.04 and 3,028.64

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Solution

The fourth proportional to 5,386.56, 7,434.04 and 3,028.64 is: 4,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.56 : 7,434.04 = 3,028.64 : x
  2. Step 2: Convert to fraction form
    5,386.56/7,434.04 = 3,028.64/x
  3. Step 3: Cross multiply
    5,386.56x = 7,434.04 × 3,028.64
  4. Step 4: Simplify right side
    5,386.56x = 22,515,030.91
  5. Step 5: Solve for x
    x = 22,515,030.91/5,386.56
  6. Step 6: Final answer
    x = 4,179.85

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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.