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Finding the Fourth Proportional to 6,154.40, 8,490.12 and 4,473.20

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Solution

The fourth proportional to 6,154.40, 8,490.12 and 4,473.20 is: 6,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.40 : 8,490.12 = 4,473.20 : x
  2. Step 2: Convert to fraction form
    6,154.40/8,490.12 = 4,473.20/x
  3. Step 3: Cross multiply
    6,154.40x = 8,490.12 × 4,473.20
  4. Step 4: Simplify right side
    6,154.40x = 37,978,004.78
  5. Step 5: Solve for x
    x = 37,978,004.78/6,154.40
  6. Step 6: Final answer
    x = 6,170.87

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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.