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Finding the Fourth Proportional to 4,778.07, 7,168.02 and 1,490.49

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Solution

The fourth proportional to 4,778.07, 7,168.02 and 1,490.49 is: 2,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.07 : 7,168.02 = 1,490.49 : x
  2. Step 2: Convert to fraction form
    4,778.07/7,168.02 = 1,490.49/x
  3. Step 3: Cross multiply
    4,778.07x = 7,168.02 × 1,490.49
  4. Step 4: Simplify right side
    4,778.07x = 10,683,862.13
  5. Step 5: Solve for x
    x = 10,683,862.13/4,778.07
  6. Step 6: Final answer
    x = 2,236.02

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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.