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Finding the Fourth Proportional to 5,897.65, 8,136.03 and 3,535.69

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Solution

The fourth proportional to 5,897.65, 8,136.03 and 3,535.69 is: 4,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.65 : 8,136.03 = 3,535.69 : x
  2. Step 2: Convert to fraction form
    5,897.65/8,136.03 = 3,535.69/x
  3. Step 3: Cross multiply
    5,897.65x = 8,136.03 × 3,535.69
  4. Step 4: Simplify right side
    5,897.65x = 28,766,479.91
  5. Step 5: Solve for x
    x = 28,766,479.91/5,897.65
  6. Step 6: Final answer
    x = 4,877.62

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