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Finding the Fourth Proportional to 4,861.32, 7,293.12 and 1,741.50

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Solution

The fourth proportional to 4,861.32, 7,293.12 and 1,741.50 is: 2,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.32 : 7,293.12 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    4,861.32/7,293.12 = 1,741.50/x
  3. Step 3: Cross multiply
    4,861.32x = 7,293.12 × 1,741.50
  4. Step 4: Simplify right side
    4,861.32x = 12,700,968.48
  5. Step 5: Solve for x
    x = 12,700,968.48/4,861.32
  6. Step 6: Final answer
    x = 2,612.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.