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Finding the Fourth Proportional to 3,502.56, 5,256.82 and 1,655

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Solution

The fourth proportional to 3,502.56, 5,256.82 and 1,655 is: 2,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.56 : 5,256.82 = 1,655 : x
  2. Step 2: Convert to fraction form
    3,502.56/5,256.82 = 1,655/x
  3. Step 3: Cross multiply
    3,502.56x = 5,256.82 × 1,655
  4. Step 4: Simplify right side
    3,502.56x = 8,700,037.10
  5. Step 5: Solve for x
    x = 8,700,037.10/3,502.56
  6. Step 6: Final answer
    x = 2,483.91

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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.