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Finding the Fourth Proportional to 4,658.93, 6,990.74 and 2,903.49

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Solution

The fourth proportional to 4,658.93, 6,990.74 and 2,903.49 is: 4,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.93 : 6,990.74 = 2,903.49 : x
  2. Step 2: Convert to fraction form
    4,658.93/6,990.74 = 2,903.49/x
  3. Step 3: Cross multiply
    4,658.93x = 6,990.74 × 2,903.49
  4. Step 4: Simplify right side
    4,658.93x = 20,297,540.05
  5. Step 5: Solve for x
    x = 20,297,540.05/4,658.93
  6. Step 6: Final answer
    x = 4,356.70

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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.