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Finding the Fourth Proportional to 5,628.51, 8,434.66 and 4,136

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Solution

The fourth proportional to 5,628.51, 8,434.66 and 4,136 is: 6,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.51 : 8,434.66 = 4,136 : x
  2. Step 2: Convert to fraction form
    5,628.51/8,434.66 = 4,136/x
  3. Step 3: Cross multiply
    5,628.51x = 8,434.66 × 4,136
  4. Step 4: Simplify right side
    5,628.51x = 34,885,753.76
  5. Step 5: Solve for x
    x = 34,885,753.76/5,628.51
  6. Step 6: Final answer
    x = 6,198.04

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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.