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Finding the Fourth Proportional to 4,477.70, 6,718.85 and 1,847.23

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Solution

The fourth proportional to 4,477.70, 6,718.85 and 1,847.23 is: 2,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.70 : 6,718.85 = 1,847.23 : x
  2. Step 2: Convert to fraction form
    4,477.70/6,718.85 = 1,847.23/x
  3. Step 3: Cross multiply
    4,477.70x = 6,718.85 × 1,847.23
  4. Step 4: Simplify right side
    4,477.70x = 12,411,261.29
  5. Step 5: Solve for x
    x = 12,411,261.29/4,477.70
  6. Step 6: Final answer
    x = 2,771.79

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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.