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Finding the Fourth Proportional to 5,606.35, 7,736.31 and 3,248.64

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Solution

The fourth proportional to 5,606.35, 7,736.31 and 3,248.64 is: 4,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.35 : 7,736.31 = 3,248.64 : x
  2. Step 2: Convert to fraction form
    5,606.35/7,736.31 = 3,248.64/x
  3. Step 3: Cross multiply
    5,606.35x = 7,736.31 × 3,248.64
  4. Step 4: Simplify right side
    5,606.35x = 25,132,486.12
  5. Step 5: Solve for x
    x = 25,132,486.12/5,606.35
  6. Step 6: Final answer
    x = 4,482.86

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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.