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Finding the Fourth Proportional to 3,223.59, 4,835.06 and 1,031.73

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Solution

The fourth proportional to 3,223.59, 4,835.06 and 1,031.73 is: 1,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.59 : 4,835.06 = 1,031.73 : x
  2. Step 2: Convert to fraction form
    3,223.59/4,835.06 = 1,031.73/x
  3. Step 3: Cross multiply
    3,223.59x = 4,835.06 × 1,031.73
  4. Step 4: Simplify right side
    3,223.59x = 4,988,476.45
  5. Step 5: Solve for x
    x = 4,988,476.45/3,223.59
  6. Step 6: Final answer
    x = 1,547.49

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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.