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Finding the Fourth Proportional to 3,848.96, 5,309.04 and 2,654.00

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Solution

The fourth proportional to 3,848.96, 5,309.04 and 2,654.00 is: 3,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.96 : 5,309.04 = 2,654.00 : x
  2. Step 2: Convert to fraction form
    3,848.96/5,309.04 = 2,654.00/x
  3. Step 3: Cross multiply
    3,848.96x = 5,309.04 × 2,654.00
  4. Step 4: Simplify right side
    3,848.96x = 14,090,152.34
  5. Step 5: Solve for x
    x = 14,090,152.34/3,848.96
  6. Step 6: Final answer
    x = 3,660.77

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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.