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Finding the Fourth Proportional to 3,507.12, 4,837.35 and 2,248.54

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Solution

The fourth proportional to 3,507.12, 4,837.35 and 2,248.54 is: 3,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.12 : 4,837.35 = 2,248.54 : x
  2. Step 2: Convert to fraction form
    3,507.12/4,837.35 = 2,248.54/x
  3. Step 3: Cross multiply
    3,507.12x = 4,837.35 × 2,248.54
  4. Step 4: Simplify right side
    3,507.12x = 10,876,971.31
  5. Step 5: Solve for x
    x = 10,876,971.31/3,507.12
  6. Step 6: Final answer
    x = 3,101.40

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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.