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Finding the Fourth Proportional to 4,855, 7,282.52 and 1,777

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Solution

The fourth proportional to 4,855, 7,282.52 and 1,777 is: 2,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855 : 7,282.52 = 1,777 : x
  2. Step 2: Convert to fraction form
    4,855/7,282.52 = 1,777/x
  3. Step 3: Cross multiply
    4,855x = 7,282.52 × 1,777
  4. Step 4: Simplify right side
    4,855x = 12,941,038.04
  5. Step 5: Solve for x
    x = 12,941,038.04/4,855
  6. Step 6: Final answer
    x = 2,665.51

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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.