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Finding the Fourth Proportional to 4,862.84, 7,294.52 and 1,576.19

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Solution

The fourth proportional to 4,862.84, 7,294.52 and 1,576.19 is: 2,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.84 : 7,294.52 = 1,576.19 : x
  2. Step 2: Convert to fraction form
    4,862.84/7,294.52 = 1,576.19/x
  3. Step 3: Cross multiply
    4,862.84x = 7,294.52 × 1,576.19
  4. Step 4: Simplify right side
    4,862.84x = 11,497,571.66
  5. Step 5: Solve for x
    x = 11,497,571.66/4,862.84
  6. Step 6: Final answer
    x = 2,364.38

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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.