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Finding the Fourth Proportional to 3,275.71, 4,520.42 and 1,783.65

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Solution

The fourth proportional to 3,275.71, 4,520.42 and 1,783.65 is: 2,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.71 : 4,520.42 = 1,783.65 : x
  2. Step 2: Convert to fraction form
    3,275.71/4,520.42 = 1,783.65/x
  3. Step 3: Cross multiply
    3,275.71x = 4,520.42 × 1,783.65
  4. Step 4: Simplify right side
    3,275.71x = 8,062,815.61
  5. Step 5: Solve for x
    x = 8,062,815.61/3,275.71
  6. Step 6: Final answer
    x = 2,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.