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Finding the Fourth Proportional to 3,512, 5,266.32 and 1,045.94

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Solution

The fourth proportional to 3,512, 5,266.32 and 1,045.94 is: 1,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512 : 5,266.32 = 1,045.94 : x
  2. Step 2: Convert to fraction form
    3,512/5,266.32 = 1,045.94/x
  3. Step 3: Cross multiply
    3,512x = 5,266.32 × 1,045.94
  4. Step 4: Simplify right side
    3,512x = 5,508,254.74
  5. Step 5: Solve for x
    x = 5,508,254.74/3,512
  6. Step 6: Final answer
    x = 1,568.41

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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.