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Finding the Fourth Proportional to 3,585.64, 4,948.14 and 2,014

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Solution

The fourth proportional to 3,585.64, 4,948.14 and 2,014 is: 2,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.64 : 4,948.14 = 2,014 : x
  2. Step 2: Convert to fraction form
    3,585.64/4,948.14 = 2,014/x
  3. Step 3: Cross multiply
    3,585.64x = 4,948.14 × 2,014
  4. Step 4: Simplify right side
    3,585.64x = 9,965,553.96
  5. Step 5: Solve for x
    x = 9,965,553.96/3,585.64
  6. Step 6: Final answer
    x = 2,779.30

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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.