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Finding the Fourth Proportional to 3,546.57, 5,321.51 and 1,354.58

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Solution

The fourth proportional to 3,546.57, 5,321.51 and 1,354.58 is: 2,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.57 : 5,321.51 = 1,354.58 : x
  2. Step 2: Convert to fraction form
    3,546.57/5,321.51 = 1,354.58/x
  3. Step 3: Cross multiply
    3,546.57x = 5,321.51 × 1,354.58
  4. Step 4: Simplify right side
    3,546.57x = 7,208,411.02
  5. Step 5: Solve for x
    x = 7,208,411.02/3,546.57
  6. Step 6: Final answer
    x = 2,032.50

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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.