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Finding the Fourth Proportional to 3,276.92, 4,913.87 and 1,055.35

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Solution

The fourth proportional to 3,276.92, 4,913.87 and 1,055.35 is: 1,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.92 : 4,913.87 = 1,055.35 : x
  2. Step 2: Convert to fraction form
    3,276.92/4,913.87 = 1,055.35/x
  3. Step 3: Cross multiply
    3,276.92x = 4,913.87 × 1,055.35
  4. Step 4: Simplify right side
    3,276.92x = 5,185,852.70
  5. Step 5: Solve for x
    x = 5,185,852.70/3,276.92
  6. Step 6: Final answer
    x = 1,582.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.