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Finding the Fourth Proportional to 3,924.64, 5,420.38 and 2,663.50

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Solution

The fourth proportional to 3,924.64, 5,420.38 and 2,663.50 is: 3,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.64 : 5,420.38 = 2,663.50 : x
  2. Step 2: Convert to fraction form
    3,924.64/5,420.38 = 2,663.50/x
  3. Step 3: Cross multiply
    3,924.64x = 5,420.38 × 2,663.50
  4. Step 4: Simplify right side
    3,924.64x = 14,437,182.13
  5. Step 5: Solve for x
    x = 14,437,182.13/3,924.64
  6. Step 6: Final answer
    x = 3,678.60

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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.