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Finding the Fourth Proportional to 4,573.70, 6,311.72 and 2,477.83

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Solution

The fourth proportional to 4,573.70, 6,311.72 and 2,477.83 is: 3,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.70 : 6,311.72 = 2,477.83 : x
  2. Step 2: Convert to fraction form
    4,573.70/6,311.72 = 2,477.83/x
  3. Step 3: Cross multiply
    4,573.70x = 6,311.72 × 2,477.83
  4. Step 4: Simplify right side
    4,573.70x = 15,639,369.17
  5. Step 5: Solve for x
    x = 15,639,369.17/4,573.70
  6. Step 6: Final answer
    x = 3,419.41

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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.