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Finding the Fourth Proportional to 5,405.90, 7,460.10 and 3,015.86

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Solution

The fourth proportional to 5,405.90, 7,460.10 and 3,015.86 is: 4,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.90 : 7,460.10 = 3,015.86 : x
  2. Step 2: Convert to fraction form
    5,405.90/7,460.10 = 3,015.86/x
  3. Step 3: Cross multiply
    5,405.90x = 7,460.10 × 3,015.86
  4. Step 4: Simplify right side
    5,405.90x = 22,498,579.89
  5. Step 5: Solve for x
    x = 22,498,579.89/5,405.90
  6. Step 6: Final answer
    x = 4,161.86

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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.