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Finding the Fourth Proportional to 3,599.70, 5,411.70 and 3,065.10

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Solution

The fourth proportional to 3,599.70, 5,411.70 and 3,065.10 is: 4,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.70 : 5,411.70 = 3,065.10 : x
  2. Step 2: Convert to fraction form
    3,599.70/5,411.70 = 3,065.10/x
  3. Step 3: Cross multiply
    3,599.70x = 5,411.70 × 3,065.10
  4. Step 4: Simplify right side
    3,599.70x = 16,587,401.67
  5. Step 5: Solve for x
    x = 16,587,401.67/3,599.70
  6. Step 6: Final answer
    x = 4,608.00

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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.