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Finding the Fourth Proportional to 4,490.48, 6,735.72 and 2,180

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Solution

The fourth proportional to 4,490.48, 6,735.72 and 2,180 is: 3,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.48 : 6,735.72 = 2,180 : x
  2. Step 2: Convert to fraction form
    4,490.48/6,735.72 = 2,180/x
  3. Step 3: Cross multiply
    4,490.48x = 6,735.72 × 2,180
  4. Step 4: Simplify right side
    4,490.48x = 14,683,869.60
  5. Step 5: Solve for x
    x = 14,683,869.60/4,490.48
  6. Step 6: Final answer
    x = 3,270.00

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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.