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Finding the Fourth Proportional to 4,472.64, 6,709 and 1,352.66

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Solution

The fourth proportional to 4,472.64, 6,709 and 1,352.66 is: 2,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.64 : 6,709 = 1,352.66 : x
  2. Step 2: Convert to fraction form
    4,472.64/6,709 = 1,352.66/x
  3. Step 3: Cross multiply
    4,472.64x = 6,709 × 1,352.66
  4. Step 4: Simplify right side
    4,472.64x = 9,074,995.94
  5. Step 5: Solve for x
    x = 9,074,995.94/4,472.64
  6. Step 6: Final answer
    x = 2,029.00

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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.