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Finding the Fourth Proportional to 4,502.07, 6,748.25 and 2,158.74

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Solution

The fourth proportional to 4,502.07, 6,748.25 and 2,158.74 is: 3,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.07 : 6,748.25 = 2,158.74 : x
  2. Step 2: Convert to fraction form
    4,502.07/6,748.25 = 2,158.74/x
  3. Step 3: Cross multiply
    4,502.07x = 6,748.25 × 2,158.74
  4. Step 4: Simplify right side
    4,502.07x = 14,567,706.41
  5. Step 5: Solve for x
    x = 14,567,706.41/4,502.07
  6. Step 6: Final answer
    x = 3,235.78

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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.