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Finding the Fourth Proportional to 5,265.35, 7,894.05 and 3,184.91

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Solution

The fourth proportional to 5,265.35, 7,894.05 and 3,184.91 is: 4,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.35 : 7,894.05 = 3,184.91 : x
  2. Step 2: Convert to fraction form
    5,265.35/7,894.05 = 3,184.91/x
  3. Step 3: Cross multiply
    5,265.35x = 7,894.05 × 3,184.91
  4. Step 4: Simplify right side
    5,265.35x = 25,141,838.79
  5. Step 5: Solve for x
    x = 25,141,838.79/5,265.35
  6. Step 6: Final answer
    x = 4,774.96

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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.