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Finding the Fourth Proportional to 4,848.84, 7,273.53 and 1,929.24

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Solution

The fourth proportional to 4,848.84, 7,273.53 and 1,929.24 is: 2,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.84 : 7,273.53 = 1,929.24 : x
  2. Step 2: Convert to fraction form
    4,848.84/7,273.53 = 1,929.24/x
  3. Step 3: Cross multiply
    4,848.84x = 7,273.53 × 1,929.24
  4. Step 4: Simplify right side
    4,848.84x = 14,032,385.02
  5. Step 5: Solve for x
    x = 14,032,385.02/4,848.84
  6. Step 6: Final answer
    x = 2,893.97

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