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Finding the Fourth Proportional to 7,034.50, 10,549.62 and 2,353.30

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Solution

The fourth proportional to 7,034.50, 10,549.62 and 2,353.30 is: 3,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.50 : 10,549.62 = 2,353.30 : x
  2. Step 2: Convert to fraction form
    7,034.50/10,549.62 = 2,353.30/x
  3. Step 3: Cross multiply
    7,034.50x = 10,549.62 × 2,353.30
  4. Step 4: Simplify right side
    7,034.50x = 24,826,420.75
  5. Step 5: Solve for x
    x = 24,826,420.75/7,034.50
  6. Step 6: Final answer
    x = 3,529.24

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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.