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Finding the Fourth Proportional to 3,129.79, 4,319.12 and 1,713.57

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Solution

The fourth proportional to 3,129.79, 4,319.12 and 1,713.57 is: 2,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.79 : 4,319.12 = 1,713.57 : x
  2. Step 2: Convert to fraction form
    3,129.79/4,319.12 = 1,713.57/x
  3. Step 3: Cross multiply
    3,129.79x = 4,319.12 × 1,713.57
  4. Step 4: Simplify right side
    3,129.79x = 7,401,124.88
  5. Step 5: Solve for x
    x = 7,401,124.88/3,129.79
  6. Step 6: Final answer
    x = 2,364.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.