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Finding the Fourth Proportional to 3,628.07, 5,442.14 and 1,031.00

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Solution

The fourth proportional to 3,628.07, 5,442.14 and 1,031.00 is: 1,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.07 : 5,442.14 = 1,031.00 : x
  2. Step 2: Convert to fraction form
    3,628.07/5,442.14 = 1,031.00/x
  3. Step 3: Cross multiply
    3,628.07x = 5,442.14 × 1,031.00
  4. Step 4: Simplify right side
    3,628.07x = 5,610,862.52
  5. Step 5: Solve for x
    x = 5,610,862.52/3,628.07
  6. Step 6: Final answer
    x = 1,546.52

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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.