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Finding the Fourth Proportional to 4,699, 7,043.70 and 2,234.08

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Solution

The fourth proportional to 4,699, 7,043.70 and 2,234.08 is: 3,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699 : 7,043.70 = 2,234.08 : x
  2. Step 2: Convert to fraction form
    4,699/7,043.70 = 2,234.08/x
  3. Step 3: Cross multiply
    4,699x = 7,043.70 × 2,234.08
  4. Step 4: Simplify right side
    4,699x = 15,736,189.30
  5. Step 5: Solve for x
    x = 15,736,189.30/4,699
  6. Step 6: Final answer
    x = 3,348.84

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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.