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Finding the Fourth Proportional to 3,506.62, 5,260.79 and 1,041.43

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Solution

The fourth proportional to 3,506.62, 5,260.79 and 1,041.43 is: 1,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.62 : 5,260.79 = 1,041.43 : x
  2. Step 2: Convert to fraction form
    3,506.62/5,260.79 = 1,041.43/x
  3. Step 3: Cross multiply
    3,506.62x = 5,260.79 × 1,041.43
  4. Step 4: Simplify right side
    3,506.62x = 5,478,744.53
  5. Step 5: Solve for x
    x = 5,478,744.53/3,506.62
  6. Step 6: Final answer
    x = 1,562.40

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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.