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Finding the Fourth Proportional to 4,275.65, 5,898.38 and 2,783.03

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Solution

The fourth proportional to 4,275.65, 5,898.38 and 2,783.03 is: 3,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.65 : 5,898.38 = 2,783.03 : x
  2. Step 2: Convert to fraction form
    4,275.65/5,898.38 = 2,783.03/x
  3. Step 3: Cross multiply
    4,275.65x = 5,898.38 × 2,783.03
  4. Step 4: Simplify right side
    4,275.65x = 16,415,325.08
  5. Step 5: Solve for x
    x = 16,415,325.08/4,275.65
  6. Step 6: Final answer
    x = 3,839.26

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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.