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Finding the Fourth Proportional to 6,208.93, 8,566.58 and 5,897.28

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Solution

The fourth proportional to 6,208.93, 8,566.58 and 5,897.28 is: 8,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.93 : 8,566.58 = 5,897.28 : x
  2. Step 2: Convert to fraction form
    6,208.93/8,566.58 = 5,897.28/x
  3. Step 3: Cross multiply
    6,208.93x = 8,566.58 × 5,897.28
  4. Step 4: Simplify right side
    6,208.93x = 50,519,535.65
  5. Step 5: Solve for x
    x = 50,519,535.65/6,208.93
  6. Step 6: Final answer
    x = 8,136.60

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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.