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Finding the Fourth Proportional to 4,658.84, 6,989.94 and 2,348.60

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Solution

The fourth proportional to 4,658.84, 6,989.94 and 2,348.60 is: 3,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.84 : 6,989.94 = 2,348.60 : x
  2. Step 2: Convert to fraction form
    4,658.84/6,989.94 = 2,348.60/x
  3. Step 3: Cross multiply
    4,658.84x = 6,989.94 × 2,348.60
  4. Step 4: Simplify right side
    4,658.84x = 16,416,573.08
  5. Step 5: Solve for x
    x = 16,416,573.08/4,658.84
  6. Step 6: Final answer
    x = 3,523.75

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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.