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Finding the Fourth Proportional to 4,851.58, 7,276.96 and 1,929.10

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Solution

The fourth proportional to 4,851.58, 7,276.96 and 1,929.10 is: 2,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.58 : 7,276.96 = 1,929.10 : x
  2. Step 2: Convert to fraction form
    4,851.58/7,276.96 = 1,929.10/x
  3. Step 3: Cross multiply
    4,851.58x = 7,276.96 × 1,929.10
  4. Step 4: Simplify right side
    4,851.58x = 14,037,983.54
  5. Step 5: Solve for x
    x = 14,037,983.54/4,851.58
  6. Step 6: Final answer
    x = 2,893.49

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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.