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Finding the Fourth Proportional to 4,136.80, 5,708.78 and 2,368.40

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Solution

The fourth proportional to 4,136.80, 5,708.78 and 2,368.40 is: 3,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.80 : 5,708.78 = 2,368.40 : x
  2. Step 2: Convert to fraction form
    4,136.80/5,708.78 = 2,368.40/x
  3. Step 3: Cross multiply
    4,136.80x = 5,708.78 × 2,368.40
  4. Step 4: Simplify right side
    4,136.80x = 13,520,662.71
  5. Step 5: Solve for x
    x = 13,520,662.71/4,136.80
  6. Step 6: Final answer
    x = 3,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.