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Finding the Fourth Proportional to 3,585.67, 5,374.96 and 1,506.20

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Solution

The fourth proportional to 3,585.67, 5,374.96 and 1,506.20 is: 2,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.67 : 5,374.96 = 1,506.20 : x
  2. Step 2: Convert to fraction form
    3,585.67/5,374.96 = 1,506.20/x
  3. Step 3: Cross multiply
    3,585.67x = 5,374.96 × 1,506.20
  4. Step 4: Simplify right side
    3,585.67x = 8,095,734.11
  5. Step 5: Solve for x
    x = 8,095,734.11/3,585.67
  6. Step 6: Final answer
    x = 2,257.80

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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.