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Finding the Fourth Proportional to 4,871.53, 6,723.17 and 2,775.25

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Solution

The fourth proportional to 4,871.53, 6,723.17 and 2,775.25 is: 3,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.53 : 6,723.17 = 2,775.25 : x
  2. Step 2: Convert to fraction form
    4,871.53/6,723.17 = 2,775.25/x
  3. Step 3: Cross multiply
    4,871.53x = 6,723.17 × 2,775.25
  4. Step 4: Simplify right side
    4,871.53x = 18,658,477.54
  5. Step 5: Solve for x
    x = 18,658,477.54/4,871.53
  6. Step 6: Final answer
    x = 3,830.11

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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.