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Finding the Fourth Proportional to 5,150.86, 7,106.50 and 2,912.51

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Solution

The fourth proportional to 5,150.86, 7,106.50 and 2,912.51 is: 4,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.86 : 7,106.50 = 2,912.51 : x
  2. Step 2: Convert to fraction form
    5,150.86/7,106.50 = 2,912.51/x
  3. Step 3: Cross multiply
    5,150.86x = 7,106.50 × 2,912.51
  4. Step 4: Simplify right side
    5,150.86x = 20,697,752.32
  5. Step 5: Solve for x
    x = 20,697,752.32/5,150.86
  6. Step 6: Final answer
    x = 4,018.31

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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.