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Finding the Fourth Proportional to 4,134, 5,706.36 and 2,478

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Solution

The fourth proportional to 4,134, 5,706.36 and 2,478 is: 3,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 5,706.36 = 2,478 : x
  2. Step 2: Convert to fraction form
    4,134/5,706.36 = 2,478/x
  3. Step 3: Cross multiply
    4,134x = 5,706.36 × 2,478
  4. Step 4: Simplify right side
    4,134x = 14,140,360.08
  5. Step 5: Solve for x
    x = 14,140,360.08/4,134
  6. Step 6: Final answer
    x = 3,420.50

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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.