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Finding the Fourth Proportional to 3,857.60, 5,323.04 and 2,285.76

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Solution

The fourth proportional to 3,857.60, 5,323.04 and 2,285.76 is: 3,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.60 : 5,323.04 = 2,285.76 : x
  2. Step 2: Convert to fraction form
    3,857.60/5,323.04 = 2,285.76/x
  3. Step 3: Cross multiply
    3,857.60x = 5,323.04 × 2,285.76
  4. Step 4: Simplify right side
    3,857.60x = 12,167,191.91
  5. Step 5: Solve for x
    x = 12,167,191.91/3,857.60
  6. Step 6: Final answer
    x = 3,154.08

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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.