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Finding the Fourth Proportional to 3,461.54, 4,765.84 and 2,800.58

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Solution

The fourth proportional to 3,461.54, 4,765.84 and 2,800.58 is: 3,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.54 : 4,765.84 = 2,800.58 : x
  2. Step 2: Convert to fraction form
    3,461.54/4,765.84 = 2,800.58/x
  3. Step 3: Cross multiply
    3,461.54x = 4,765.84 × 2,800.58
  4. Step 4: Simplify right side
    3,461.54x = 13,347,085.36
  5. Step 5: Solve for x
    x = 13,347,085.36/3,461.54
  6. Step 6: Final answer
    x = 3,855.83

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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.