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Finding the Fourth Proportional to 5,784.72, 7,984.08 and 3,428.16

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Solution

The fourth proportional to 5,784.72, 7,984.08 and 3,428.16 is: 4,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.72 : 7,984.08 = 3,428.16 : x
  2. Step 2: Convert to fraction form
    5,784.72/7,984.08 = 3,428.16/x
  3. Step 3: Cross multiply
    5,784.72x = 7,984.08 × 3,428.16
  4. Step 4: Simplify right side
    5,784.72x = 27,370,703.69
  5. Step 5: Solve for x
    x = 27,370,703.69/5,784.72
  6. Step 6: Final answer
    x = 4,731.55

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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.