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Finding the Fourth Proportional to 4,086.38, 6,130.72 and 1,313.22

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Solution

The fourth proportional to 4,086.38, 6,130.72 and 1,313.22 is: 1,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.38 : 6,130.72 = 1,313.22 : x
  2. Step 2: Convert to fraction form
    4,086.38/6,130.72 = 1,313.22/x
  3. Step 3: Cross multiply
    4,086.38x = 6,130.72 × 1,313.22
  4. Step 4: Simplify right side
    4,086.38x = 8,050,984.12
  5. Step 5: Solve for x
    x = 8,050,984.12/4,086.38
  6. Step 6: Final answer
    x = 1,970.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.