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Finding the Fourth Proportional to 3,885.80, 5,828.70 and 3,302.60

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Solution

The fourth proportional to 3,885.80, 5,828.70 and 3,302.60 is: 4,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.80 : 5,828.70 = 3,302.60 : x
  2. Step 2: Convert to fraction form
    3,885.80/5,828.70 = 3,302.60/x
  3. Step 3: Cross multiply
    3,885.80x = 5,828.70 × 3,302.60
  4. Step 4: Simplify right side
    3,885.80x = 19,249,864.62
  5. Step 5: Solve for x
    x = 19,249,864.62/3,885.80
  6. Step 6: Final answer
    x = 4,953.90

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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.