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Finding the Fourth Proportional to 3,706.55, 5,106.25 and 2,585.51

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Solution

The fourth proportional to 3,706.55, 5,106.25 and 2,585.51 is: 3,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.55 : 5,106.25 = 2,585.51 : x
  2. Step 2: Convert to fraction form
    3,706.55/5,106.25 = 2,585.51/x
  3. Step 3: Cross multiply
    3,706.55x = 5,106.25 × 2,585.51
  4. Step 4: Simplify right side
    3,706.55x = 13,202,234.91
  5. Step 5: Solve for x
    x = 13,202,234.91/3,706.55
  6. Step 6: Final answer
    x = 3,561.87

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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.