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Finding the Fourth Proportional to 3,031.93, 4,548.09 and 952.02

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Solution

The fourth proportional to 3,031.93, 4,548.09 and 952.02 is: 1,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.93 : 4,548.09 = 952.02 : x
  2. Step 2: Convert to fraction form
    3,031.93/4,548.09 = 952.02/x
  3. Step 3: Cross multiply
    3,031.93x = 4,548.09 × 952.02
  4. Step 4: Simplify right side
    3,031.93x = 4,329,858.07
  5. Step 5: Solve for x
    x = 4,329,858.07/3,031.93
  6. Step 6: Final answer
    x = 1,428.09

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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.