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Finding the Fourth Proportional to 4,572.36, 6,855.90 and 4,025.64

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Solution

The fourth proportional to 4,572.36, 6,855.90 and 4,025.64 is: 6,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.36 : 6,855.90 = 4,025.64 : x
  2. Step 2: Convert to fraction form
    4,572.36/6,855.90 = 4,025.64/x
  3. Step 3: Cross multiply
    4,572.36x = 6,855.90 × 4,025.64
  4. Step 4: Simplify right side
    4,572.36x = 27,599,385.28
  5. Step 5: Solve for x
    x = 27,599,385.28/4,572.36
  6. Step 6: Final answer
    x = 6,036.14

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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.