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Finding the Fourth Proportional to 4,582.74, 6,873.30 and 1,295.76

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Solution

The fourth proportional to 4,582.74, 6,873.30 and 1,295.76 is: 1,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.74 : 6,873.30 = 1,295.76 : x
  2. Step 2: Convert to fraction form
    4,582.74/6,873.30 = 1,295.76/x
  3. Step 3: Cross multiply
    4,582.74x = 6,873.30 × 1,295.76
  4. Step 4: Simplify right side
    4,582.74x = 8,906,147.21
  5. Step 5: Solve for x
    x = 8,906,147.21/4,582.74
  6. Step 6: Final answer
    x = 1,943.41

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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.