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Finding the Fourth Proportional to 3,640.70, 5,461.05 and 2,401.40

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Solution

The fourth proportional to 3,640.70, 5,461.05 and 2,401.40 is: 3,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.70 : 5,461.05 = 2,401.40 : x
  2. Step 2: Convert to fraction form
    3,640.70/5,461.05 = 2,401.40/x
  3. Step 3: Cross multiply
    3,640.70x = 5,461.05 × 2,401.40
  4. Step 4: Simplify right side
    3,640.70x = 13,114,165.47
  5. Step 5: Solve for x
    x = 13,114,165.47/3,640.70
  6. Step 6: Final answer
    x = 3,602.10

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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.