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Finding the Fourth Proportional to 4,658.61, 6,426.63 and 2,768.86

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Solution

The fourth proportional to 4,658.61, 6,426.63 and 2,768.86 is: 3,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.61 : 6,426.63 = 2,768.86 : x
  2. Step 2: Convert to fraction form
    4,658.61/6,426.63 = 2,768.86/x
  3. Step 3: Cross multiply
    4,658.61x = 6,426.63 × 2,768.86
  4. Step 4: Simplify right side
    4,658.61x = 17,794,408.83
  5. Step 5: Solve for x
    x = 17,794,408.83/4,658.61
  6. Step 6: Final answer
    x = 3,819.68

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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.