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Finding the Fourth Proportional to 3,762.30, 5,182.92 and 3,164.81

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Solution

The fourth proportional to 3,762.30, 5,182.92 and 3,164.81 is: 4,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.30 : 5,182.92 = 3,164.81 : x
  2. Step 2: Convert to fraction form
    3,762.30/5,182.92 = 3,164.81/x
  3. Step 3: Cross multiply
    3,762.30x = 5,182.92 × 3,164.81
  4. Step 4: Simplify right side
    3,762.30x = 16,402,931.13
  5. Step 5: Solve for x
    x = 16,402,931.13/3,762.30
  6. Step 6: Final answer
    x = 4,359.81

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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.