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Finding the Fourth Proportional to 3,881.60, 5,813.68 and 3,013.28

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Solution

The fourth proportional to 3,881.60, 5,813.68 and 3,013.28 is: 4,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.60 : 5,813.68 = 3,013.28 : x
  2. Step 2: Convert to fraction form
    3,881.60/5,813.68 = 3,013.28/x
  3. Step 3: Cross multiply
    3,881.60x = 5,813.68 × 3,013.28
  4. Step 4: Simplify right side
    3,881.60x = 17,518,245.67
  5. Step 5: Solve for x
    x = 17,518,245.67/3,881.60
  6. Step 6: Final answer
    x = 4,513.15

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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.