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Finding the Fourth Proportional to 3,530.76, 5,290.38 and 1,797

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Solution

The fourth proportional to 3,530.76, 5,290.38 and 1,797 is: 2,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.76 : 5,290.38 = 1,797 : x
  2. Step 2: Convert to fraction form
    3,530.76/5,290.38 = 1,797/x
  3. Step 3: Cross multiply
    3,530.76x = 5,290.38 × 1,797
  4. Step 4: Simplify right side
    3,530.76x = 9,506,812.86
  5. Step 5: Solve for x
    x = 9,506,812.86/3,530.76
  6. Step 6: Final answer
    x = 2,692.57

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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.