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Finding the Fourth Proportional to 3,635.40, 5,461.20 and 3,497.70

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Solution

The fourth proportional to 3,635.40, 5,461.20 and 3,497.70 is: 5,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.40 : 5,461.20 = 3,497.70 : x
  2. Step 2: Convert to fraction form
    3,635.40/5,461.20 = 3,497.70/x
  3. Step 3: Cross multiply
    3,635.40x = 5,461.20 × 3,497.70
  4. Step 4: Simplify right side
    3,635.40x = 19,101,639.24
  5. Step 5: Solve for x
    x = 19,101,639.24/3,635.40
  6. Step 6: Final answer
    x = 5,254.34

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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.