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Finding the Fourth Proportional to 4,086.84, 6,130.26 and 1,313.74

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Solution

The fourth proportional to 4,086.84, 6,130.26 and 1,313.74 is: 1,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.84 : 6,130.26 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    4,086.84/6,130.26 = 1,313.74/x
  3. Step 3: Cross multiply
    4,086.84x = 6,130.26 × 1,313.74
  4. Step 4: Simplify right side
    4,086.84x = 8,053,567.77
  5. Step 5: Solve for x
    x = 8,053,567.77/4,086.84
  6. Step 6: Final answer
    x = 1,970.61

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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.