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Finding the Fourth Proportional to 3,136.35, 4,706.12 and 1,492.59

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Solution

The fourth proportional to 3,136.35, 4,706.12 and 1,492.59 is: 2,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.35 : 4,706.12 = 1,492.59 : x
  2. Step 2: Convert to fraction form
    3,136.35/4,706.12 = 1,492.59/x
  3. Step 3: Cross multiply
    3,136.35x = 4,706.12 × 1,492.59
  4. Step 4: Simplify right side
    3,136.35x = 7,024,300.19
  5. Step 5: Solve for x
    x = 7,024,300.19/3,136.35
  6. Step 6: Final answer
    x = 2,239.64

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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.