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Finding the Fourth Proportional to 5,305.60, 7,959.30 and 1,607.80

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Solution

The fourth proportional to 5,305.60, 7,959.30 and 1,607.80 is: 2,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.60 : 7,959.30 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    5,305.60/7,959.30 = 1,607.80/x
  3. Step 3: Cross multiply
    5,305.60x = 7,959.30 × 1,607.80
  4. Step 4: Simplify right side
    5,305.60x = 12,796,962.54
  5. Step 5: Solve for x
    x = 12,796,962.54/5,305.60
  6. Step 6: Final answer
    x = 2,411.97

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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.