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Finding the Fourth Proportional to 3,136.56, 4,706.10 and 1,577.40

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Solution

The fourth proportional to 3,136.56, 4,706.10 and 1,577.40 is: 2,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.56 : 4,706.10 = 1,577.40 : x
  2. Step 2: Convert to fraction form
    3,136.56/4,706.10 = 1,577.40/x
  3. Step 3: Cross multiply
    3,136.56x = 4,706.10 × 1,577.40
  4. Step 4: Simplify right side
    3,136.56x = 7,423,402.14
  5. Step 5: Solve for x
    x = 7,423,402.14/3,136.56
  6. Step 6: Final answer
    x = 2,366.73

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