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Finding the Fourth Proportional to 3,136.48, 4,706.70 and 1,188.88

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Solution

The fourth proportional to 3,136.48, 4,706.70 and 1,188.88 is: 1,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.48 : 4,706.70 = 1,188.88 : x
  2. Step 2: Convert to fraction form
    3,136.48/4,706.70 = 1,188.88/x
  3. Step 3: Cross multiply
    3,136.48x = 4,706.70 × 1,188.88
  4. Step 4: Simplify right side
    3,136.48x = 5,595,701.50
  5. Step 5: Solve for x
    x = 5,595,701.50/3,136.48
  6. Step 6: Final answer
    x = 1,784.07

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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.