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Finding the Fourth Proportional to 3,506.92, 5,262.30 and 1,559.07

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Solution

The fourth proportional to 3,506.92, 5,262.30 and 1,559.07 is: 2,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.92 : 5,262.30 = 1,559.07 : x
  2. Step 2: Convert to fraction form
    3,506.92/5,262.30 = 1,559.07/x
  3. Step 3: Cross multiply
    3,506.92x = 5,262.30 × 1,559.07
  4. Step 4: Simplify right side
    3,506.92x = 8,204,294.06
  5. Step 5: Solve for x
    x = 8,204,294.06/3,506.92
  6. Step 6: Final answer
    x = 2,339.46

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1.5x scale

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.