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Finding the Fourth Proportional to 5,460.74, 7,529.84 and 3,689.27

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Solution

The fourth proportional to 5,460.74, 7,529.84 and 3,689.27 is: 5,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.74 : 7,529.84 = 3,689.27 : x
  2. Step 2: Convert to fraction form
    5,460.74/7,529.84 = 3,689.27/x
  3. Step 3: Cross multiply
    5,460.74x = 7,529.84 × 3,689.27
  4. Step 4: Simplify right side
    5,460.74x = 27,779,556.72
  5. Step 5: Solve for x
    x = 27,779,556.72/5,460.74
  6. Step 6: Final answer
    x = 5,087.15

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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.