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Finding the Fourth Proportional to 4,089.69, 6,135.53 and 1,316.63

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Solution

The fourth proportional to 4,089.69, 6,135.53 and 1,316.63 is: 1,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.69 : 6,135.53 = 1,316.63 : x
  2. Step 2: Convert to fraction form
    4,089.69/6,135.53 = 1,316.63/x
  3. Step 3: Cross multiply
    4,089.69x = 6,135.53 × 1,316.63
  4. Step 4: Simplify right side
    4,089.69x = 8,078,185.60
  5. Step 5: Solve for x
    x = 8,078,185.60/4,089.69
  6. Step 6: Final answer
    x = 1,975.26

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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.