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Finding the Fourth Proportional to 4,854.60, 7,279.20 and 1,929.60

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Solution

The fourth proportional to 4,854.60, 7,279.20 and 1,929.60 is: 2,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.60 : 7,279.20 = 1,929.60 : x
  2. Step 2: Convert to fraction form
    4,854.60/7,279.20 = 1,929.60/x
  3. Step 3: Cross multiply
    4,854.60x = 7,279.20 × 1,929.60
  4. Step 4: Simplify right side
    4,854.60x = 14,045,944.32
  5. Step 5: Solve for x
    x = 14,045,944.32/4,854.60
  6. Step 6: Final answer
    x = 2,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.