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Finding the Fourth Proportional to 4,086.76, 6,129.80 and 1,312.69

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Solution

The fourth proportional to 4,086.76, 6,129.80 and 1,312.69 is: 1,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.76 : 6,129.80 = 1,312.69 : x
  2. Step 2: Convert to fraction form
    4,086.76/6,129.80 = 1,312.69/x
  3. Step 3: Cross multiply
    4,086.76x = 6,129.80 × 1,312.69
  4. Step 4: Simplify right side
    4,086.76x = 8,046,527.16
  5. Step 5: Solve for x
    x = 8,046,527.16/4,086.76
  6. Step 6: Final answer
    x = 1,968.93

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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.