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Finding the Fourth Proportional to 4,086.59, 6,129.89 and 1,313.49

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Solution

The fourth proportional to 4,086.59, 6,129.89 and 1,313.49 is: 1,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.59 : 6,129.89 = 1,313.49 : x
  2. Step 2: Convert to fraction form
    4,086.59/6,129.89 = 1,313.49/x
  3. Step 3: Cross multiply
    4,086.59x = 6,129.89 × 1,313.49
  4. Step 4: Simplify right side
    4,086.59x = 8,051,552.50
  5. Step 5: Solve for x
    x = 8,051,552.50/4,086.59
  6. Step 6: Final answer
    x = 1,970.24

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Why These Related Problems?

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