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Finding the Fourth Proportional to 4,134.50, 5,705.62 and 2,271.50

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Solution

The fourth proportional to 4,134.50, 5,705.62 and 2,271.50 is: 3,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.50 : 5,705.62 = 2,271.50 : x
  2. Step 2: Convert to fraction form
    4,134.50/5,705.62 = 2,271.50/x
  3. Step 3: Cross multiply
    4,134.50x = 5,705.62 × 2,271.50
  4. Step 4: Simplify right side
    4,134.50x = 12,960,315.83
  5. Step 5: Solve for x
    x = 12,960,315.83/4,134.50
  6. Step 6: Final answer
    x = 3,134.68

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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.