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Finding the Fourth Proportional to 4,131.50, 6,187.53 and 3,159.50

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Solution

The fourth proportional to 4,131.50, 6,187.53 and 3,159.50 is: 4,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.50 : 6,187.53 = 3,159.50 : x
  2. Step 2: Convert to fraction form
    4,131.50/6,187.53 = 3,159.50/x
  3. Step 3: Cross multiply
    4,131.50x = 6,187.53 × 3,159.50
  4. Step 4: Simplify right side
    4,131.50x = 19,549,501.04
  5. Step 5: Solve for x
    x = 19,549,501.04/4,131.50
  6. Step 6: Final answer
    x = 4,731.82

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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.