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Finding the Fourth Proportional to 5,908.90, 8,152.81 and 3,810.50

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Solution

The fourth proportional to 5,908.90, 8,152.81 and 3,810.50 is: 5,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.90 : 8,152.81 = 3,810.50 : x
  2. Step 2: Convert to fraction form
    5,908.90/8,152.81 = 3,810.50/x
  3. Step 3: Cross multiply
    5,908.90x = 8,152.81 × 3,810.50
  4. Step 4: Simplify right side
    5,908.90x = 31,066,282.51
  5. Step 5: Solve for x
    x = 31,066,282.51/5,908.90
  6. Step 6: Final answer
    x = 5,257.54

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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.