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Finding the Fourth Proportional to 4,731.84, 7,086.78 and 4,320

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Solution

The fourth proportional to 4,731.84, 7,086.78 and 4,320 is: 6,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.84 : 7,086.78 = 4,320 : x
  2. Step 2: Convert to fraction form
    4,731.84/7,086.78 = 4,320/x
  3. Step 3: Cross multiply
    4,731.84x = 7,086.78 × 4,320
  4. Step 4: Simplify right side
    4,731.84x = 30,614,889.60
  5. Step 5: Solve for x
    x = 30,614,889.60/4,731.84
  6. Step 6: Final answer
    x = 6,469.98

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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.