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Finding the Fourth Proportional to 4,506.85, 6,223.71 and 4,261.42

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Solution

The fourth proportional to 4,506.85, 6,223.71 and 4,261.42 is: 5,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.85 : 6,223.71 = 4,261.42 : x
  2. Step 2: Convert to fraction form
    4,506.85/6,223.71 = 4,261.42/x
  3. Step 3: Cross multiply
    4,506.85x = 6,223.71 × 4,261.42
  4. Step 4: Simplify right side
    4,506.85x = 26,521,842.27
  5. Step 5: Solve for x
    x = 26,521,842.27/4,506.85
  6. Step 6: Final answer
    x = 5,884.78

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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.