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Finding the Fourth Proportional to 3,628.78, 5,443.71 and 1,031.65

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Solution

The fourth proportional to 3,628.78, 5,443.71 and 1,031.65 is: 1,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.78 : 5,443.71 = 1,031.65 : x
  2. Step 2: Convert to fraction form
    3,628.78/5,443.71 = 1,031.65/x
  3. Step 3: Cross multiply
    3,628.78x = 5,443.71 × 1,031.65
  4. Step 4: Simplify right side
    3,628.78x = 5,616,003.42
  5. Step 5: Solve for x
    x = 5,616,003.42/3,628.78
  6. Step 6: Final answer
    x = 1,547.63

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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.