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Finding the Fourth Proportional to 6,017, 8,303.46 and 3,658.70

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Solution

The fourth proportional to 6,017, 8,303.46 and 3,658.70 is: 5,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017 : 8,303.46 = 3,658.70 : x
  2. Step 2: Convert to fraction form
    6,017/8,303.46 = 3,658.70/x
  3. Step 3: Cross multiply
    6,017x = 8,303.46 × 3,658.70
  4. Step 4: Simplify right side
    6,017x = 30,379,869.10
  5. Step 5: Solve for x
    x = 30,379,869.10/6,017
  6. Step 6: Final answer
    x = 5,049.01

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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.