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Finding the Fourth Proportional to 3,784.64, 5,669.58 and 2,136.20

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Solution

The fourth proportional to 3,784.64, 5,669.58 and 2,136.20 is: 3,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.64 : 5,669.58 = 2,136.20 : x
  2. Step 2: Convert to fraction form
    3,784.64/5,669.58 = 2,136.20/x
  3. Step 3: Cross multiply
    3,784.64x = 5,669.58 × 2,136.20
  4. Step 4: Simplify right side
    3,784.64x = 12,111,356.80
  5. Step 5: Solve for x
    x = 12,111,356.80/3,784.64
  6. Step 6: Final answer
    x = 3,200.13

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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.