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Finding the Fourth Proportional to 4,658.67, 6,428.57 and 2,890.35

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Solution

The fourth proportional to 4,658.67, 6,428.57 and 2,890.35 is: 3,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.67 : 6,428.57 = 2,890.35 : x
  2. Step 2: Convert to fraction form
    4,658.67/6,428.57 = 2,890.35/x
  3. Step 3: Cross multiply
    4,658.67x = 6,428.57 × 2,890.35
  4. Step 4: Simplify right side
    4,658.67x = 18,580,802.85
  5. Step 5: Solve for x
    x = 18,580,802.85/4,658.67
  6. Step 6: Final answer
    x = 3,988.44

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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.