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Finding the Fourth Proportional to 5,405.76, 7,461.15 and 3,514.06

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Solution

The fourth proportional to 5,405.76, 7,461.15 and 3,514.06 is: 4,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 7,461.15 = 3,514.06 : x
  2. Step 2: Convert to fraction form
    5,405.76/7,461.15 = 3,514.06/x
  3. Step 3: Cross multiply
    5,405.76x = 7,461.15 × 3,514.06
  4. Step 4: Simplify right side
    5,405.76x = 26,218,882.68
  5. Step 5: Solve for x
    x = 26,218,882.68/5,405.76
  6. Step 6: Final answer
    x = 4,850.17

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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.