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Finding the Fourth Proportional to 4,606.56, 6,899.76 and 2,653.92

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Solution

The fourth proportional to 4,606.56, 6,899.76 and 2,653.92 is: 3,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.56 : 6,899.76 = 2,653.92 : x
  2. Step 2: Convert to fraction form
    4,606.56/6,899.76 = 2,653.92/x
  3. Step 3: Cross multiply
    4,606.56x = 6,899.76 × 2,653.92
  4. Step 4: Simplify right side
    4,606.56x = 18,311,411.06
  5. Step 5: Solve for x
    x = 18,311,411.06/4,606.56
  6. Step 6: Final answer
    x = 3,975.07

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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.