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Finding the Fourth Proportional to 4,472.01, 6,709.84 and 2,624.00

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Solution

The fourth proportional to 4,472.01, 6,709.84 and 2,624.00 is: 3,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.01 : 6,709.84 = 2,624.00 : x
  2. Step 2: Convert to fraction form
    4,472.01/6,709.84 = 2,624.00/x
  3. Step 3: Cross multiply
    4,472.01x = 6,709.84 × 2,624.00
  4. Step 4: Simplify right side
    4,472.01x = 17,606,580.05
  5. Step 5: Solve for x
    x = 17,606,580.05/4,472.01
  6. Step 6: Final answer
    x = 3,937.06

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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.