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Finding the Fourth Proportional to 4,319.70, 5,959.71 and 2,829.30

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Solution

The fourth proportional to 4,319.70, 5,959.71 and 2,829.30 is: 3,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.70 : 5,959.71 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    4,319.70/5,959.71 = 2,829.30/x
  3. Step 3: Cross multiply
    4,319.70x = 5,959.71 × 2,829.30
  4. Step 4: Simplify right side
    4,319.70x = 16,861,807.50
  5. Step 5: Solve for x
    x = 16,861,807.50/4,319.70
  6. Step 6: Final answer
    x = 3,903.47

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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.