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Finding the Fourth Proportional to 4,057.63, 6,084.14 and 1,285.00

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Solution

The fourth proportional to 4,057.63, 6,084.14 and 1,285.00 is: 1,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.63 : 6,084.14 = 1,285.00 : x
  2. Step 2: Convert to fraction form
    4,057.63/6,084.14 = 1,285.00/x
  3. Step 3: Cross multiply
    4,057.63x = 6,084.14 × 1,285.00
  4. Step 4: Simplify right side
    4,057.63x = 7,818,098.26
  5. Step 5: Solve for x
    x = 7,818,098.26/4,057.63
  6. Step 6: Final answer
    x = 1,926.77

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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.