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Finding the Fourth Proportional to 4,706.33, 6,494.72 and 2,581.90

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Solution

The fourth proportional to 4,706.33, 6,494.72 and 2,581.90 is: 3,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.33 : 6,494.72 = 2,581.90 : x
  2. Step 2: Convert to fraction form
    4,706.33/6,494.72 = 2,581.90/x
  3. Step 3: Cross multiply
    4,706.33x = 6,494.72 × 2,581.90
  4. Step 4: Simplify right side
    4,706.33x = 16,768,688.42
  5. Step 5: Solve for x
    x = 16,768,688.42/4,706.33
  6. Step 6: Final answer
    x = 3,563.01

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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.