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Finding the Fourth Proportional to 7,034.65, 10,548.71 and 2,591.19

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Solution

The fourth proportional to 7,034.65, 10,548.71 and 2,591.19 is: 3,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.65 : 10,548.71 = 2,591.19 : x
  2. Step 2: Convert to fraction form
    7,034.65/10,548.71 = 2,591.19/x
  3. Step 3: Cross multiply
    7,034.65x = 10,548.71 × 2,591.19
  4. Step 4: Simplify right side
    7,034.65x = 27,333,698.91
  5. Step 5: Solve for x
    x = 27,333,698.91/7,034.65
  6. Step 6: Final answer
    x = 3,885.58

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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.