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Finding the Fourth Proportional to 5,539.60, 7,644 and 3,301.60

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Solution

The fourth proportional to 5,539.60, 7,644 and 3,301.60 is: 4,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.60 : 7,644 = 3,301.60 : x
  2. Step 2: Convert to fraction form
    5,539.60/7,644 = 3,301.60/x
  3. Step 3: Cross multiply
    5,539.60x = 7,644 × 3,301.60
  4. Step 4: Simplify right side
    5,539.60x = 25,237,430.40
  5. Step 5: Solve for x
    x = 25,237,430.40/5,539.60
  6. Step 6: Final answer
    x = 4,555.82

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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.