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Finding the Fourth Proportional to 4,502.50, 6,749.19 and 2,159.06

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Solution

The fourth proportional to 4,502.50, 6,749.19 and 2,159.06 is: 3,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.50 : 6,749.19 = 2,159.06 : x
  2. Step 2: Convert to fraction form
    4,502.50/6,749.19 = 2,159.06/x
  3. Step 3: Cross multiply
    4,502.50x = 6,749.19 × 2,159.06
  4. Step 4: Simplify right side
    4,502.50x = 14,571,906.16
  5. Step 5: Solve for x
    x = 14,571,906.16/4,502.50
  6. Step 6: Final answer
    x = 3,236.40

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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.