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Finding the Fourth Proportional to 4,809.60, 6,636.24 and 2,921.76

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Solution

The fourth proportional to 4,809.60, 6,636.24 and 2,921.76 is: 4,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 6,636.24 = 2,921.76 : x
  2. Step 2: Convert to fraction form
    4,809.60/6,636.24 = 2,921.76/x
  3. Step 3: Cross multiply
    4,809.60x = 6,636.24 × 2,921.76
  4. Step 4: Simplify right side
    4,809.60x = 19,389,500.58
  5. Step 5: Solve for x
    x = 19,389,500.58/4,809.60
  6. Step 6: Final answer
    x = 4,031.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.