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Finding the Fourth Proportional to 4,089.69, 6,135.74 and 1,316.29

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Solution

The fourth proportional to 4,089.69, 6,135.74 and 1,316.29 is: 1,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.69 : 6,135.74 = 1,316.29 : x
  2. Step 2: Convert to fraction form
    4,089.69/6,135.74 = 1,316.29/x
  3. Step 3: Cross multiply
    4,089.69x = 6,135.74 × 1,316.29
  4. Step 4: Simplify right side
    4,089.69x = 8,076,444.40
  5. Step 5: Solve for x
    x = 8,076,444.40/4,089.69
  6. Step 6: Final answer
    x = 1,974.83

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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.