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Finding the Fourth Proportional to 4,772.84, 7,150.02 and 2,686.52

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Solution

The fourth proportional to 4,772.84, 7,150.02 and 2,686.52 is: 4,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.84 : 7,150.02 = 2,686.52 : x
  2. Step 2: Convert to fraction form
    4,772.84/7,150.02 = 2,686.52/x
  3. Step 3: Cross multiply
    4,772.84x = 7,150.02 × 2,686.52
  4. Step 4: Simplify right side
    4,772.84x = 19,208,671.73
  5. Step 5: Solve for x
    x = 19,208,671.73/4,772.84
  6. Step 6: Final answer
    x = 4,024.58

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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.