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Finding the Fourth Proportional to 4,089.76, 6,135.62 and 1,316.69

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Solution

The fourth proportional to 4,089.76, 6,135.62 and 1,316.69 is: 1,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.76 : 6,135.62 = 1,316.69 : x
  2. Step 2: Convert to fraction form
    4,089.76/6,135.62 = 1,316.69/x
  3. Step 3: Cross multiply
    4,089.76x = 6,135.62 × 1,316.69
  4. Step 4: Simplify right side
    4,089.76x = 8,078,715.52
  5. Step 5: Solve for x
    x = 8,078,715.52/4,089.76
  6. Step 6: Final answer
    x = 1,975.35

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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.