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Finding the Fourth Proportional to 3,664.33, 5,496.82 and 1,031.86

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Solution

The fourth proportional to 3,664.33, 5,496.82 and 1,031.86 is: 1,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.33 : 5,496.82 = 1,031.86 : x
  2. Step 2: Convert to fraction form
    3,664.33/5,496.82 = 1,031.86/x
  3. Step 3: Cross multiply
    3,664.33x = 5,496.82 × 1,031.86
  4. Step 4: Simplify right side
    3,664.33x = 5,671,916.04
  5. Step 5: Solve for x
    x = 5,671,916.04/3,664.33
  6. Step 6: Final answer
    x = 1,547.87

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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.