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Finding the Fourth Proportional to 5,506.85, 8,261.72 and 1,809.65

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Solution

The fourth proportional to 5,506.85, 8,261.72 and 1,809.65 is: 2,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.85 : 8,261.72 = 1,809.65 : x
  2. Step 2: Convert to fraction form
    5,506.85/8,261.72 = 1,809.65/x
  3. Step 3: Cross multiply
    5,506.85x = 8,261.72 × 1,809.65
  4. Step 4: Simplify right side
    5,506.85x = 14,950,821.60
  5. Step 5: Solve for x
    x = 14,950,821.60/5,506.85
  6. Step 6: Final answer
    x = 2,714.95

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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.