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Finding the Fourth Proportional to 3,602.57, 5,401.53 and 1,411.52

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Solution

The fourth proportional to 3,602.57, 5,401.53 and 1,411.52 is: 2,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.57 : 5,401.53 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    3,602.57/5,401.53 = 1,411.52/x
  3. Step 3: Cross multiply
    3,602.57x = 5,401.53 × 1,411.52
  4. Step 4: Simplify right side
    3,602.57x = 7,624,381.13
  5. Step 5: Solve for x
    x = 7,624,381.13/3,602.57
  6. Step 6: Final answer
    x = 2,116.37

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Why These Related Problems?

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