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Finding the Fourth Proportional to 3,928.48, 5,420.98 and 2,159.98

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Solution

The fourth proportional to 3,928.48, 5,420.98 and 2,159.98 is: 2,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.48 : 5,420.98 = 2,159.98 : x
  2. Step 2: Convert to fraction form
    3,928.48/5,420.98 = 2,159.98/x
  3. Step 3: Cross multiply
    3,928.48x = 5,420.98 × 2,159.98
  4. Step 4: Simplify right side
    3,928.48x = 11,709,208.38
  5. Step 5: Solve for x
    x = 11,709,208.38/3,928.48
  6. Step 6: Final answer
    x = 2,980.60

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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.