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Finding the Fourth Proportional to 3,257.63, 4,492.63 and 2,557.79

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Solution

The fourth proportional to 3,257.63, 4,492.63 and 2,557.79 is: 3,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.63 : 4,492.63 = 2,557.79 : x
  2. Step 2: Convert to fraction form
    3,257.63/4,492.63 = 2,557.79/x
  3. Step 3: Cross multiply
    3,257.63x = 4,492.63 × 2,557.79
  4. Step 4: Simplify right side
    3,257.63x = 11,491,204.09
  5. Step 5: Solve for x
    x = 11,491,204.09/3,257.63
  6. Step 6: Final answer
    x = 3,527.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.