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Finding the Fourth Proportional to 4,658.58, 6,428.06 and 2,771.28

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Solution

The fourth proportional to 4,658.58, 6,428.06 and 2,771.28 is: 3,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.58 : 6,428.06 = 2,771.28 : x
  2. Step 2: Convert to fraction form
    4,658.58/6,428.06 = 2,771.28/x
  3. Step 3: Cross multiply
    4,658.58x = 6,428.06 × 2,771.28
  4. Step 4: Simplify right side
    4,658.58x = 17,813,954.12
  5. Step 5: Solve for x
    x = 17,813,954.12/4,658.58
  6. Step 6: Final answer
    x = 3,823.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.