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Finding the Fourth Proportional to 4,356.45, 6,539.54 and 2,164.59

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Solution

The fourth proportional to 4,356.45, 6,539.54 and 2,164.59 is: 3,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.45 : 6,539.54 = 2,164.59 : x
  2. Step 2: Convert to fraction form
    4,356.45/6,539.54 = 2,164.59/x
  3. Step 3: Cross multiply
    4,356.45x = 6,539.54 × 2,164.59
  4. Step 4: Simplify right side
    4,356.45x = 14,155,412.07
  5. Step 5: Solve for x
    x = 14,155,412.07/4,356.45
  6. Step 6: Final answer
    x = 3,249.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.