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Finding the Fourth Proportional to 3,888.94, 5,834.02 and 1,548.96

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Solution

The fourth proportional to 3,888.94, 5,834.02 and 1,548.96 is: 2,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.94 : 5,834.02 = 1,548.96 : x
  2. Step 2: Convert to fraction form
    3,888.94/5,834.02 = 1,548.96/x
  3. Step 3: Cross multiply
    3,888.94x = 5,834.02 × 1,548.96
  4. Step 4: Simplify right side
    3,888.94x = 9,036,681.62
  5. Step 5: Solve for x
    x = 9,036,681.62/3,888.94
  6. Step 6: Final answer
    x = 2,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.