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Finding the Fourth Proportional to 4,191.54, 5,783.52 and 2,848.21

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Solution

The fourth proportional to 4,191.54, 5,783.52 and 2,848.21 is: 3,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.54 : 5,783.52 = 2,848.21 : x
  2. Step 2: Convert to fraction form
    4,191.54/5,783.52 = 2,848.21/x
  3. Step 3: Cross multiply
    4,191.54x = 5,783.52 × 2,848.21
  4. Step 4: Simplify right side
    4,191.54x = 16,472,697.41
  5. Step 5: Solve for x
    x = 16,472,697.41/4,191.54
  6. Step 6: Final answer
    x = 3,929.99

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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.