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Finding the Fourth Proportional to 3,857.52, 5,333.40 and 3,460.08

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Solution

The fourth proportional to 3,857.52, 5,333.40 and 3,460.08 is: 4,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,333.40 = 3,460.08 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,333.40 = 3,460.08/x
  3. Step 3: Cross multiply
    3,857.52x = 5,333.40 × 3,460.08
  4. Step 4: Simplify right side
    3,857.52x = 18,453,990.67
  5. Step 5: Solve for x
    x = 18,453,990.67/3,857.52
  6. Step 6: Final answer
    x = 4,783.90

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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.