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Finding the Fourth Proportional to 2,356.89, 3,557.48 and 2,356.89

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Solution

The fourth proportional to 2,356.89, 3,557.48 and 2,356.89 is: 3,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.89 : 3,557.48 = 2,356.89 : x
  2. Step 2: Convert to fraction form
    2,356.89/3,557.48 = 2,356.89/x
  3. Step 3: Cross multiply
    2,356.89x = 3,557.48 × 2,356.89
  4. Step 4: Simplify right side
    2,356.89x = 8,384,589.04
  5. Step 5: Solve for x
    x = 8,384,589.04/2,356.89
  6. Step 6: Final answer
    x = 3,557.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.