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Finding the Fourth Proportional to 4,086.83, 6,130.10 and 1,313.69

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Solution

The fourth proportional to 4,086.83, 6,130.10 and 1,313.69 is: 1,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.83 : 6,130.10 = 1,313.69 : x
  2. Step 2: Convert to fraction form
    4,086.83/6,130.10 = 1,313.69/x
  3. Step 3: Cross multiply
    4,086.83x = 6,130.10 × 1,313.69
  4. Step 4: Simplify right side
    4,086.83x = 8,053,013.85
  5. Step 5: Solve for x
    x = 8,053,013.85/4,086.83
  6. Step 6: Final answer
    x = 1,970.48

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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.