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Finding the Fourth Proportional to 4,647.59, 6,412.10 and 2,656.73

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Solution

The fourth proportional to 4,647.59, 6,412.10 and 2,656.73 is: 3,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.59 : 6,412.10 = 2,656.73 : x
  2. Step 2: Convert to fraction form
    4,647.59/6,412.10 = 2,656.73/x
  3. Step 3: Cross multiply
    4,647.59x = 6,412.10 × 2,656.73
  4. Step 4: Simplify right side
    4,647.59x = 17,035,218.43
  5. Step 5: Solve for x
    x = 17,035,218.43/4,647.59
  6. Step 6: Final answer
    x = 3,665.39

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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.