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Finding the Fourth Proportional to 4,664.48, 6,437.80 and 3,654.16

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Solution

The fourth proportional to 4,664.48, 6,437.80 and 3,654.16 is: 5,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.48 : 6,437.80 = 3,654.16 : x
  2. Step 2: Convert to fraction form
    4,664.48/6,437.80 = 3,654.16/x
  3. Step 3: Cross multiply
    4,664.48x = 6,437.80 × 3,654.16
  4. Step 4: Simplify right side
    4,664.48x = 23,524,751.25
  5. Step 5: Solve for x
    x = 23,524,751.25/4,664.48
  6. Step 6: Final answer
    x = 5,043.38

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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.