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Finding the Fourth Proportional to 3,894.16, 5,838.09 and 2,658.46

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Solution

The fourth proportional to 3,894.16, 5,838.09 and 2,658.46 is: 3,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.16 : 5,838.09 = 2,658.46 : x
  2. Step 2: Convert to fraction form
    3,894.16/5,838.09 = 2,658.46/x
  3. Step 3: Cross multiply
    3,894.16x = 5,838.09 × 2,658.46
  4. Step 4: Simplify right side
    3,894.16x = 15,520,328.74
  5. Step 5: Solve for x
    x = 15,520,328.74/3,894.16
  6. Step 6: Final answer
    x = 3,985.54

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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.