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Finding the Fourth Proportional to 4,775.82, 7,165.84 and 1,854.34

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Solution

The fourth proportional to 4,775.82, 7,165.84 and 1,854.34 is: 2,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.82 : 7,165.84 = 1,854.34 : x
  2. Step 2: Convert to fraction form
    4,775.82/7,165.84 = 1,854.34/x
  3. Step 3: Cross multiply
    4,775.82x = 7,165.84 × 1,854.34
  4. Step 4: Simplify right side
    4,775.82x = 13,287,903.75
  5. Step 5: Solve for x
    x = 13,287,903.75/4,775.82
  6. Step 6: Final answer
    x = 2,782.33

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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.