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Finding the Fourth Proportional to 5,679.60, 7,835.54 and 3,582.50

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Solution

The fourth proportional to 5,679.60, 7,835.54 and 3,582.50 is: 4,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.60 : 7,835.54 = 3,582.50 : x
  2. Step 2: Convert to fraction form
    5,679.60/7,835.54 = 3,582.50/x
  3. Step 3: Cross multiply
    5,679.60x = 7,835.54 × 3,582.50
  4. Step 4: Simplify right side
    5,679.60x = 28,070,822.05
  5. Step 5: Solve for x
    x = 28,070,822.05/5,679.60
  6. Step 6: Final answer
    x = 4,942.39

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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.