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Finding the Fourth Proportional to 4,346.90, 6,520.86 and 1,384.30

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Solution

The fourth proportional to 4,346.90, 6,520.86 and 1,384.30 is: 2,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.90 : 6,520.86 = 1,384.30 : x
  2. Step 2: Convert to fraction form
    4,346.90/6,520.86 = 1,384.30/x
  3. Step 3: Cross multiply
    4,346.90x = 6,520.86 × 1,384.30
  4. Step 4: Simplify right side
    4,346.90x = 9,026,819.58
  5. Step 5: Solve for x
    x = 9,026,819.58/4,346.90
  6. Step 6: Final answer
    x = 2,076.61

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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.