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Finding the Fourth Proportional to 3,927.86, 5,420.18 and 2,159.08

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Solution

The fourth proportional to 3,927.86, 5,420.18 and 2,159.08 is: 2,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.86 : 5,420.18 = 2,159.08 : x
  2. Step 2: Convert to fraction form
    3,927.86/5,420.18 = 2,159.08/x
  3. Step 3: Cross multiply
    3,927.86x = 5,420.18 × 2,159.08
  4. Step 4: Simplify right side
    3,927.86x = 11,702,602.23
  5. Step 5: Solve for x
    x = 11,702,602.23/3,927.86
  6. Step 6: Final answer
    x = 2,979.38

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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.