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Finding the Fourth Proportional to 3,585.94, 4,948.65 and 2,014.18

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Solution

The fourth proportional to 3,585.94, 4,948.65 and 2,014.18 is: 2,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.94 : 4,948.65 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    3,585.94/4,948.65 = 2,014.18/x
  3. Step 3: Cross multiply
    3,585.94x = 4,948.65 × 2,014.18
  4. Step 4: Simplify right side
    3,585.94x = 9,967,471.86
  5. Step 5: Solve for x
    x = 9,967,471.86/3,585.94
  6. Step 6: Final answer
    x = 2,779.60

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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.