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Finding the Fourth Proportional to 3,461.58, 5,185.65 and 3,073.74

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Solution

The fourth proportional to 3,461.58, 5,185.65 and 3,073.74 is: 4,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.58 : 5,185.65 = 3,073.74 : x
  2. Step 2: Convert to fraction form
    3,461.58/5,185.65 = 3,073.74/x
  3. Step 3: Cross multiply
    3,461.58x = 5,185.65 × 3,073.74
  4. Step 4: Simplify right side
    3,461.58x = 15,939,339.83
  5. Step 5: Solve for x
    x = 15,939,339.83/3,461.58
  6. Step 6: Final answer
    x = 4,604.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.