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Finding the Fourth Proportional to 5,971.64, 8,238.66 and 3,875

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Solution

The fourth proportional to 5,971.64, 8,238.66 and 3,875 is: 5,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.64 : 8,238.66 = 3,875 : x
  2. Step 2: Convert to fraction form
    5,971.64/8,238.66 = 3,875/x
  3. Step 3: Cross multiply
    5,971.64x = 8,238.66 × 3,875
  4. Step 4: Simplify right side
    5,971.64x = 31,924,807.50
  5. Step 5: Solve for x
    x = 31,924,807.50/5,971.64
  6. Step 6: Final answer
    x = 5,346.07

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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.