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Finding the Fourth Proportional to 4,089.35, 6,134.74 and 1,316.12

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Solution

The fourth proportional to 4,089.35, 6,134.74 and 1,316.12 is: 1,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.35 : 6,134.74 = 1,316.12 : x
  2. Step 2: Convert to fraction form
    4,089.35/6,134.74 = 1,316.12/x
  3. Step 3: Cross multiply
    4,089.35x = 6,134.74 × 1,316.12
  4. Step 4: Simplify right side
    4,089.35x = 8,074,020.04
  5. Step 5: Solve for x
    x = 8,074,020.04/4,089.35
  6. Step 6: Final answer
    x = 1,974.40

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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.