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Finding the Fourth Proportional to 3,585.78, 4,948.60 and 2,013.88

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Solution

The fourth proportional to 3,585.78, 4,948.60 and 2,013.88 is: 2,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.78 : 4,948.60 = 2,013.88 : x
  2. Step 2: Convert to fraction form
    3,585.78/4,948.60 = 2,013.88/x
  3. Step 3: Cross multiply
    3,585.78x = 4,948.60 × 2,013.88
  4. Step 4: Simplify right side
    3,585.78x = 9,965,861.83
  5. Step 5: Solve for x
    x = 9,965,861.83/3,585.78
  6. Step 6: Final answer
    x = 2,779.27

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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.