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Finding the Fourth Proportional to 3,141.34, 4,335 and 1,725.06

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Solution

The fourth proportional to 3,141.34, 4,335 and 1,725.06 is: 2,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.34 : 4,335 = 1,725.06 : x
  2. Step 2: Convert to fraction form
    3,141.34/4,335 = 1,725.06/x
  3. Step 3: Cross multiply
    3,141.34x = 4,335 × 1,725.06
  4. Step 4: Simplify right side
    3,141.34x = 7,478,135.10
  5. Step 5: Solve for x
    x = 7,478,135.10/3,141.34
  6. Step 6: Final answer
    x = 2,380.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.