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Finding the Fourth Proportional to 3,875.45, 5,349.02 and 2,304.45

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Solution

The fourth proportional to 3,875.45, 5,349.02 and 2,304.45 is: 3,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.45 : 5,349.02 = 2,304.45 : x
  2. Step 2: Convert to fraction form
    3,875.45/5,349.02 = 2,304.45/x
  3. Step 3: Cross multiply
    3,875.45x = 5,349.02 × 2,304.45
  4. Step 4: Simplify right side
    3,875.45x = 12,326,537.62
  5. Step 5: Solve for x
    x = 12,326,537.62/3,875.45
  6. Step 6: Final answer
    x = 3,180.68

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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.