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Finding the Fourth Proportional to 3,461.46, 5,197.95 and 3,434.58

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Solution

The fourth proportional to 3,461.46, 5,197.95 and 3,434.58 is: 5,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.46 : 5,197.95 = 3,434.58 : x
  2. Step 2: Convert to fraction form
    3,461.46/5,197.95 = 3,434.58/x
  3. Step 3: Cross multiply
    3,461.46x = 5,197.95 × 3,434.58
  4. Step 4: Simplify right side
    3,461.46x = 17,852,775.11
  5. Step 5: Solve for x
    x = 17,852,775.11/3,461.46
  6. Step 6: Final answer
    x = 5,157.59

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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.