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Finding the Fourth Proportional to 3,461.42, 4,775.09 and 2,265.88

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Solution

The fourth proportional to 3,461.42, 4,775.09 and 2,265.88 is: 3,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.42 : 4,775.09 = 2,265.88 : x
  2. Step 2: Convert to fraction form
    3,461.42/4,775.09 = 2,265.88/x
  3. Step 3: Cross multiply
    3,461.42x = 4,775.09 × 2,265.88
  4. Step 4: Simplify right side
    3,461.42x = 10,819,774.66
  5. Step 5: Solve for x
    x = 10,819,774.66/3,461.42
  6. Step 6: Final answer
    x = 3,125.82

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