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Finding the Fourth Proportional to 4,193.19, 5,784.03 and 3,015.84

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Solution

The fourth proportional to 4,193.19, 5,784.03 and 3,015.84 is: 4,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.19 : 5,784.03 = 3,015.84 : x
  2. Step 2: Convert to fraction form
    4,193.19/5,784.03 = 3,015.84/x
  3. Step 3: Cross multiply
    4,193.19x = 5,784.03 × 3,015.84
  4. Step 4: Simplify right side
    4,193.19x = 17,443,709.04
  5. Step 5: Solve for x
    x = 17,443,709.04/4,193.19
  6. Step 6: Final answer
    x = 4,160.01

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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.