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Finding the Fourth Proportional to 3,875.79, 5,349.74 and 2,304.93

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Solution

The fourth proportional to 3,875.79, 5,349.74 and 2,304.93 is: 3,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.79 : 5,349.74 = 2,304.93 : x
  2. Step 2: Convert to fraction form
    3,875.79/5,349.74 = 2,304.93/x
  3. Step 3: Cross multiply
    3,875.79x = 5,349.74 × 2,304.93
  4. Step 4: Simplify right side
    3,875.79x = 12,330,764.69
  5. Step 5: Solve for x
    x = 12,330,764.69/3,875.79
  6. Step 6: Final answer
    x = 3,181.48

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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.