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Finding the Fourth Proportional to 4,857.04, 7,285.64 and 1,394

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Solution

The fourth proportional to 4,857.04, 7,285.64 and 1,394 is: 2,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.04 : 7,285.64 = 1,394 : x
  2. Step 2: Convert to fraction form
    4,857.04/7,285.64 = 1,394/x
  3. Step 3: Cross multiply
    4,857.04x = 7,285.64 × 1,394
  4. Step 4: Simplify right side
    4,857.04x = 10,156,182.16
  5. Step 5: Solve for x
    x = 10,156,182.16/4,857.04
  6. Step 6: Final answer
    x = 2,091.02

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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.