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Finding the Fourth Proportional to 3,585.67, 4,948.67 and 2,013.75

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Solution

The fourth proportional to 3,585.67, 4,948.67 and 2,013.75 is: 2,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.67 : 4,948.67 = 2,013.75 : x
  2. Step 2: Convert to fraction form
    3,585.67/4,948.67 = 2,013.75/x
  3. Step 3: Cross multiply
    3,585.67x = 4,948.67 × 2,013.75
  4. Step 4: Simplify right side
    3,585.67x = 9,965,389.25
  5. Step 5: Solve for x
    x = 9,965,389.25/3,585.67
  6. Step 6: Final answer
    x = 2,779.23

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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.