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Finding the Fourth Proportional to 4,285.80, 6,428.70 and 4,164.30

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Solution

The fourth proportional to 4,285.80, 6,428.70 and 4,164.30 is: 6,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.80 : 6,428.70 = 4,164.30 : x
  2. Step 2: Convert to fraction form
    4,285.80/6,428.70 = 4,164.30/x
  3. Step 3: Cross multiply
    4,285.80x = 6,428.70 × 4,164.30
  4. Step 4: Simplify right side
    4,285.80x = 26,771,035.41
  5. Step 5: Solve for x
    x = 26,771,035.41/4,285.80
  6. Step 6: Final answer
    x = 6,246.45

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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.