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Finding the Fourth Proportional to 4,128, 6,192.72 and 1,531.08

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Solution

The fourth proportional to 4,128, 6,192.72 and 1,531.08 is: 2,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128 : 6,192.72 = 1,531.08 : x
  2. Step 2: Convert to fraction form
    4,128/6,192.72 = 1,531.08/x
  3. Step 3: Cross multiply
    4,128x = 6,192.72 × 1,531.08
  4. Step 4: Simplify right side
    4,128x = 9,481,549.74
  5. Step 5: Solve for x
    x = 9,481,549.74/4,128
  6. Step 6: Final answer
    x = 2,296.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.